tools/regression/lib/msun/test-fma.c

   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("$FreeBSD$");
  33
  34 #include <assert.h>
  35 #include <fenv.h>
  36 #include <float.h>
  37 #include <math.h>
  38 #include <stdio.h>
  39
  40 #define ALL_STD_EXCEPT  (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \
  41                          FE_OVERFLOW | FE_UNDERFLOW)
  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         assert(feclearexcept(FE_ALL_EXCEPT) == 0);                      \
  57         assert(fpequal((func)((x), (y), (z)), (result)));               \
  58         assert(((func), fetestexcept(exceptmask) == (excepts)));        \
  59 } while (0)
  60
  61 #define testall(x, y, z, result, exceptmask, excepts)   do {            \
  62         test(fma, (x), (y), (z), (double)(result), (exceptmask), (excepts)); \
  63         test(fmaf, (x), (y), (z), (float)(result), (exceptmask), (excepts)); \
  64         test(fmal, (x), (y), (z), (result), (exceptmask), (excepts));   \
  65 } while (0)
  66
  67 /* Test in all rounding modes. */
  68 #define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts)     do { \
  69         fesetround(FE_TONEAREST);                                       \
  70         test((func), (x), (y), (z), (rn), (exceptmask), (excepts));     \
  71         fesetround(FE_UPWARD);                                          \
  72         test((func), (x), (y), (z), (ru), (exceptmask), (excepts));     \
  73         fesetround(FE_DOWNWARD);                                        \
  74         test((func), (x), (y), (z), (rd), (exceptmask), (excepts));     \
  75         fesetround(FE_TOWARDZERO);                                      \
  76         test((func), (x), (y), (z), (rz), (exceptmask), (excepts));     \
  77 } while (0)
  78
  79 /*
  80  * Determine whether x and y are equal, with two special rules:
  81  *      +0.0 != -0.0
  82  *       NaN == NaN
  83  */
  84 int
  85 fpequal(long double x, long double y)
  86 {
  87
  88         return ((x == y && signbit(x) == signbit(y)) || (isnan(x) && isnan(y)));
  89 }
  90
  91 static void
  92 test_zeroes(void)
  93 {
  94         const int rd = (fegetround() == FE_DOWNWARD);
  95
  96         testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
  97         testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
  98         testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
  99         testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0);
 100
 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         testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
 104         testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
 105         testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
 106
 107         testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0);
 108         testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0);
 109
 110         testall(-1.0, 1.0, 1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
 111         testall(1.0, -1.0, 1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
 112         testall(-1.0, -1.0, -1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
 113
 114         switch (fegetround()) {
 115         case FE_TONEAREST:
 116         case FE_TOWARDZERO:
 117                 test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0,
 118                      ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
 119                 test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0,
 120                      ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
 121                 test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0,
 122                      ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
 123         }
 124 }
 125
 126 static void
 127 test_infinities(void)
 128 {
 129
 130         testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0);
 131         testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0);
 132         testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
 133         testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
 134         testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
 135
 136         testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0);
 137         testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0);
 138         testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
 139
 140         testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
 141         testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
 142
 143         /* The invalid exception is optional in this case. */
 144         testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0);
 145
 146         testall(INFINITY, INFINITY, -INFINITY, NAN,
 147                 ALL_STD_EXCEPT, FE_INVALID);
 148         testall(-INFINITY, INFINITY, INFINITY, NAN,
 149                 ALL_STD_EXCEPT, FE_INVALID);
 150         testall(INFINITY, -1.0, INFINITY, NAN,
 151                 ALL_STD_EXCEPT, FE_INVALID);
 152
 153         test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
 154         test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
 155         test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY,
 156              ALL_STD_EXCEPT, 0);
 157         test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
 158         test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
 159         test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY,
 160              ALL_STD_EXCEPT, 0);
 161 }
 162
 163 static void
 164 test_nans(void)
 165 {
 166
 167         testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0);
 168         testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0);
 169         testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0);
 170         testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0);
 171         testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0);
 172
 173         /* x*y should not raise an inexact/overflow/underflow if z is NaN. */
 174         testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0);
 175         test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
 176         test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
 177         test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
 178         test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
 179         test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
 180         test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
 181 }
 182
 183 /*
 184  * Tests for cases where z is very small compared to x*y.
 185  */
 186 static void
 187 test_small_z(void)
 188 {
 189
 190         /* x*y positive, z positive */
 191         if (fegetround() == FE_UPWARD) {
 192                 test(fmaf, 1.0, 1.0, 0x1.0p-100, 1.0 + FLT_EPSILON,
 193                      ALL_STD_EXCEPT, FE_INEXACT);
 194                 test(fma, 1.0, 1.0, 0x1.0p-200, 1.0 + DBL_EPSILON,
 195                      ALL_STD_EXCEPT, FE_INEXACT);
 196                 test(fmal, 1.0, 1.0, 0x1.0p-200, 1.0 + LDBL_EPSILON,
 197                      ALL_STD_EXCEPT, FE_INEXACT);
 198         } else {
 199                 testall(0x1.0p100, 1.0, 0x1.0p-100, 0x1.0p100,
 200                         ALL_STD_EXCEPT, FE_INEXACT);
 201         }
 202
 203         /* x*y negative, z negative */
 204         if (fegetround() == FE_DOWNWARD) {
 205                 test(fmaf, -1.0, 1.0, -0x1.0p-100, -(1.0 + FLT_EPSILON),
 206                      ALL_STD_EXCEPT, FE_INEXACT);
 207                 test(fma, -1.0, 1.0, -0x1.0p-200, -(1.0 + DBL_EPSILON),
 208                      ALL_STD_EXCEPT, FE_INEXACT);
 209                 test(fmal, -1.0, 1.0, -0x1.0p-200, -(1.0 + LDBL_EPSILON),
 210                      ALL_STD_EXCEPT, FE_INEXACT);
 211         } else {
 212                 testall(0x1.0p100, -1.0, -0x1.0p-100, -0x1.0p100,
 213                         ALL_STD_EXCEPT, FE_INEXACT);
 214         }
 215
 216         /* x*y positive, z negative */
 217         if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
 218                 test(fmaf, 1.0, 1.0, -0x1.0p-100, 1.0 - FLT_EPSILON / 2,
 219                      ALL_STD_EXCEPT, FE_INEXACT);
 220                 test(fma, 1.0, 1.0, -0x1.0p-200, 1.0 - DBL_EPSILON / 2,
 221                      ALL_STD_EXCEPT, FE_INEXACT);
 222                 test(fmal, 1.0, 1.0, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2,
 223                      ALL_STD_EXCEPT, FE_INEXACT);
 224         } else {
 225                 testall(0x1.0p100, 1.0, -0x1.0p-100, 0x1.0p100,
 226                         ALL_STD_EXCEPT, FE_INEXACT);
 227         }
 228
 229         /* x*y negative, z positive */
 230         if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
 231                 test(fmaf, -1.0, 1.0, 0x1.0p-100, -1.0 + FLT_EPSILON / 2,
 232                      ALL_STD_EXCEPT, FE_INEXACT);
 233                 test(fma, -1.0, 1.0, 0x1.0p-200, -1.0 + DBL_EPSILON / 2,
 234                      ALL_STD_EXCEPT, FE_INEXACT);
 235                 test(fmal, -1.0, 1.0, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2,
 236                      ALL_STD_EXCEPT, FE_INEXACT);
 237         } else {
 238                 testall(-0x1.0p100, 1.0, 0x1.0p-100, -0x1.0p100,
 239                         ALL_STD_EXCEPT, FE_INEXACT);
 240         }
 241 }
 242
 243 /*
 244  * Tests for cases where z is very large compared to x*y.
 245  */
 246 static void
 247 test_big_z(void)
 248 {
 249
 250         /* z positive, x*y positive */
 251         if (fegetround() == FE_UPWARD) {
 252                 test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON,
 253                      ALL_STD_EXCEPT, FE_INEXACT);
 254                 test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON,
 255                      ALL_STD_EXCEPT, FE_INEXACT);
 256                 test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON,
 257                      ALL_STD_EXCEPT, FE_INEXACT);
 258         } else {
 259                 testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100,
 260                         ALL_STD_EXCEPT, FE_INEXACT);
 261         }
 262
 263         /* z negative, x*y negative */
 264         if (fegetround() == FE_DOWNWARD) {
 265                 test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON),
 266                      ALL_STD_EXCEPT, FE_INEXACT);
 267                 test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON),
 268                      ALL_STD_EXCEPT, FE_INEXACT);
 269                 test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON),
 270                      ALL_STD_EXCEPT, FE_INEXACT);
 271         } else {
 272                 testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100,
 273                         ALL_STD_EXCEPT, FE_INEXACT);
 274         }
 275
 276         /* z negative, x*y positive */
 277         if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
 278                 test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0,
 279                      -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
 280                 test(fma, -0x1.0p-100, -0x1.0p-100, -1.0,
 281                      -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
 282                 test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0,
 283                      -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
 284         } else {
 285                 testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100,
 286                         ALL_STD_EXCEPT, FE_INEXACT);
 287         }
 288
 289         /* z positive, x*y negative */
 290         if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
 291                 test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2,
 292                      ALL_STD_EXCEPT, FE_INEXACT);
 293                 test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2,
 294                      ALL_STD_EXCEPT, FE_INEXACT);
 295                 test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2,
 296                      ALL_STD_EXCEPT, FE_INEXACT);
 297         } else {
 298                 testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100,
 299                         ALL_STD_EXCEPT, FE_INEXACT);
 300         }
 301 }
 302
 303 static void
 304 test_accuracy(void)
 305 {
 306
 307         /* ilogb(x*y) - ilogb(z) = 20 */
 308         testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38,
 309                 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18,
 310                 ALL_STD_EXCEPT, FE_INEXACT);
 311         testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32,
 312                 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18,
 313                 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18,
 314                 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT);
 315 #if LDBL_MANT_DIG == 113
 316         testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L,
 317                 -0x1.600e7a2a164840edbe2e7d301a72p32L,
 318                 0x1.26558cac315807eb07e448042101p-38L,
 319                 0x1.34e48a78aae96c76ed36077dd387p-18L,
 320                 0x1.34e48a78aae96c76ed36077dd388p-18L,
 321                 0x1.34e48a78aae96c76ed36077dd387p-18L,
 322                 0x1.34e48a78aae96c76ed36077dd387p-18L,
 323                 ALL_STD_EXCEPT, FE_INEXACT);
 324 #elif LDBL_MANT_DIG == 64
 325         testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L,
 326                 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L,
 327                 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L,
 328                 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT);
 329 #elif LDBL_MANT_DIG == 53
 330         testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L,
 331                 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L,
 332                 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L,
 333                 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT);
 334 #endif
 335
 336         /* ilogb(x*y) - ilogb(z) = -40 */
 337         testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70,
 338                 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70,
 339                 ALL_STD_EXCEPT, FE_INEXACT);
 340         testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24,
 341                 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70,
 342                 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70,
 343                 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT);
 344 #if LDBL_MANT_DIG == 113
 345         testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L,
 346                 0x1.9556ac1475f0f28968b61d0de65ap-24L,
 347                 0x1.d87da3aafc60d830aa4c6d73b749p70L,
 348                 0x1.d87da3aafda3f36a69eb86488224p70L,
 349                 0x1.d87da3aafda3f36a69eb86488225p70L,
 350                 0x1.d87da3aafda3f36a69eb86488224p70L,
 351                 0x1.d87da3aafda3f36a69eb86488224p70L,
 352                 ALL_STD_EXCEPT, FE_INEXACT);
 353 #elif LDBL_MANT_DIG == 64
 354         testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L,
 355                 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L,
 356                 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L,
 357                 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT);
 358 #elif LDBL_MANT_DIG == 53
 359         testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L,
 360                 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L,
 361                 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L,
 362                 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT);
 363 #endif
 364 }
 365
 366 int
 367 main(int argc, char *argv[])
 368 {
 369         int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
 370         int i;
 371
 372         printf("1..18\n");
 373
 374         for (i = 0; i < 4; i++) {
 375                 fesetround(rmodes[i]);
 376                 test_zeroes();
 377                 printf("ok %d - fma zeroes\n", i + 1);
 378         }
 379
 380         for (i = 0; i < 4; i++) {
 381                 fesetround(rmodes[i]);
 382                 test_infinities();
 383                 printf("ok %d - fma infinities\n", i + 5);
 384         }
 385
 386         fesetround(FE_TONEAREST);
 387         test_nans();
 388         printf("ok 9 - fma NaNs\n");
 389
 390         for (i = 0; i < 4; i++) {
 391                 fesetround(rmodes[i]);
 392                 test_small_z();
 393                 printf("ok %d - fma small z\n", i + 10);
 394         }
 395
 396         for (i = 0; i < 4; i++) {
 397                 fesetround(rmodes[i]);
 398                 test_big_z();
 399                 printf("ok %d - fma big z\n", i + 14);
 400         }
 401
 402         fesetround(FE_TONEAREST);
 403         test_accuracy();
 404         printf("ok 18 - fma accuracy\n");
 405
 406         /*
 407          * TODO:
 408          * - Tests for subnormals
 409          * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact)
 410          */
 411
 412         return (0);
 413 }