2 * Copyright (c) 2008 David Schultz <das@FreeBSD.org>
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
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.
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
28 * Tests for fma{,f,l}().
31 #include <sys/cdefs.h>
32 __FBSDID("$FreeBSD$");
34 #include <sys/param.h>
42 #include "test-utils.h"
44 #pragma STDC FENV_ACCESS ON
47 * Test that a function returns the correct value and sets the
48 * exception flags correctly. The exceptmask specifies which
49 * exceptions we should check. We need to be lenient for several
50 * reasons, but mainly because on some architectures it's impossible
51 * to raise FE_OVERFLOW without raising FE_INEXACT.
53 * These are macros instead of functions so that assert provides more
54 * meaningful error messages.
56 #define test(func, x, y, z, result, exceptmask, excepts) do { \
57 volatile long double _vx = (x), _vy = (y), _vz = (z); \
58 assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
59 assert(fpequal((func)(_vx, _vy, _vz), (result))); \
60 assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \
63 #define testall(x, y, z, result, exceptmask, excepts) do { \
64 test(fma, (double)(x), (double)(y), (double)(z), \
65 (double)(result), (exceptmask), (excepts)); \
66 test(fmaf, (float)(x), (float)(y), (float)(z), \
67 (float)(result), (exceptmask), (excepts)); \
68 test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \
71 /* Test in all rounding modes. */
72 #define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \
73 fesetround(FE_TONEAREST); \
74 test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \
75 fesetround(FE_UPWARD); \
76 test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \
77 fesetround(FE_DOWNWARD); \
78 test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \
79 fesetround(FE_TOWARDZERO); \
80 test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \
84 * This is needed because clang constant-folds fma in ways that are incorrect
85 * in rounding modes other than FE_TONEAREST.
87 volatile double one = 1.0;
92 const int rd = (fegetround() == FE_DOWNWARD);
94 testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
95 testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
96 testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
97 testall(0.0, 0.0, 1.0, 1.0, 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, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
101 testall(-0.0, -0.0, 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, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
105 testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0);
106 testall(0.0, -0.0, -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 testall(-one, -one, -one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
112 switch (fegetround()) {
115 test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0,
116 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
117 test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0,
118 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
119 test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0,
120 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
125 test_infinities(void)
128 testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0);
129 testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0);
130 testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
131 testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
132 testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
134 testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0);
135 testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0);
136 testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
138 testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
139 testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
141 /* The invalid exception is optional in this case. */
142 testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0);
144 testall(INFINITY, INFINITY, -INFINITY, NAN,
145 ALL_STD_EXCEPT, FE_INVALID);
146 testall(-INFINITY, INFINITY, INFINITY, NAN,
147 ALL_STD_EXCEPT, FE_INVALID);
148 testall(INFINITY, -1.0, INFINITY, NAN,
149 ALL_STD_EXCEPT, FE_INVALID);
151 test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
152 test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
153 test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY,
155 test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
156 test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
157 test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY,
165 testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0);
166 testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0);
167 testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0);
168 testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0);
169 testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0);
171 /* x*y should not raise an inexact/overflow/underflow if z is NaN. */
172 testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0);
173 test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
174 test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
175 test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
176 test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
177 test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
178 test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
182 * Tests for cases where z is very small compared to x*y.
188 /* x*y positive, z positive */
189 if (fegetround() == FE_UPWARD) {
190 test(fmaf, one, one, 0x1.0p-100, 1.0 + FLT_EPSILON,
191 ALL_STD_EXCEPT, FE_INEXACT);
192 test(fma, one, one, 0x1.0p-200, 1.0 + DBL_EPSILON,
193 ALL_STD_EXCEPT, FE_INEXACT);
194 test(fmal, one, one, 0x1.0p-200, 1.0 + LDBL_EPSILON,
195 ALL_STD_EXCEPT, FE_INEXACT);
197 testall(0x1.0p100, one, 0x1.0p-100, 0x1.0p100,
198 ALL_STD_EXCEPT, FE_INEXACT);
201 /* x*y negative, z negative */
202 if (fegetround() == FE_DOWNWARD) {
203 test(fmaf, -one, one, -0x1.0p-100, -(1.0 + FLT_EPSILON),
204 ALL_STD_EXCEPT, FE_INEXACT);
205 test(fma, -one, one, -0x1.0p-200, -(1.0 + DBL_EPSILON),
206 ALL_STD_EXCEPT, FE_INEXACT);
207 test(fmal, -one, one, -0x1.0p-200, -(1.0 + LDBL_EPSILON),
208 ALL_STD_EXCEPT, FE_INEXACT);
210 testall(0x1.0p100, -one, -0x1.0p-100, -0x1.0p100,
211 ALL_STD_EXCEPT, FE_INEXACT);
214 /* x*y positive, z negative */
215 if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
216 test(fmaf, one, one, -0x1.0p-100, 1.0 - FLT_EPSILON / 2,
217 ALL_STD_EXCEPT, FE_INEXACT);
218 test(fma, one, one, -0x1.0p-200, 1.0 - DBL_EPSILON / 2,
219 ALL_STD_EXCEPT, FE_INEXACT);
220 test(fmal, one, one, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2,
221 ALL_STD_EXCEPT, FE_INEXACT);
223 testall(0x1.0p100, one, -0x1.0p-100, 0x1.0p100,
224 ALL_STD_EXCEPT, FE_INEXACT);
227 /* x*y negative, z positive */
228 if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
229 test(fmaf, -one, one, 0x1.0p-100, -1.0 + FLT_EPSILON / 2,
230 ALL_STD_EXCEPT, FE_INEXACT);
231 test(fma, -one, one, 0x1.0p-200, -1.0 + DBL_EPSILON / 2,
232 ALL_STD_EXCEPT, FE_INEXACT);
233 test(fmal, -one, one, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2,
234 ALL_STD_EXCEPT, FE_INEXACT);
236 testall(-0x1.0p100, one, 0x1.0p-100, -0x1.0p100,
237 ALL_STD_EXCEPT, FE_INEXACT);
242 * Tests for cases where z is very large compared to x*y.
248 /* z positive, x*y positive */
249 if (fegetround() == FE_UPWARD) {
250 test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON,
251 ALL_STD_EXCEPT, FE_INEXACT);
252 test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON,
253 ALL_STD_EXCEPT, FE_INEXACT);
254 test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON,
255 ALL_STD_EXCEPT, FE_INEXACT);
257 testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100,
258 ALL_STD_EXCEPT, FE_INEXACT);
261 /* z negative, x*y negative */
262 if (fegetround() == FE_DOWNWARD) {
263 test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON),
264 ALL_STD_EXCEPT, FE_INEXACT);
265 test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON),
266 ALL_STD_EXCEPT, FE_INEXACT);
267 test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON),
268 ALL_STD_EXCEPT, FE_INEXACT);
270 testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100,
271 ALL_STD_EXCEPT, FE_INEXACT);
274 /* z negative, x*y positive */
275 if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
276 test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0,
277 -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
278 test(fma, -0x1.0p-100, -0x1.0p-100, -1.0,
279 -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
280 test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0,
281 -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
283 testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100,
284 ALL_STD_EXCEPT, FE_INEXACT);
287 /* z positive, x*y negative */
288 if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
289 test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2,
290 ALL_STD_EXCEPT, FE_INEXACT);
291 test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2,
292 ALL_STD_EXCEPT, FE_INEXACT);
293 test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2,
294 ALL_STD_EXCEPT, FE_INEXACT);
296 testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100,
297 ALL_STD_EXCEPT, FE_INEXACT);
305 /* ilogb(x*y) - ilogb(z) = 20 */
306 testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38,
307 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18,
308 ALL_STD_EXCEPT, FE_INEXACT);
309 testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32,
310 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18,
311 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18,
312 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT);
313 #if LDBL_MANT_DIG == 113
314 testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L,
315 -0x1.600e7a2a164840edbe2e7d301a72p32L,
316 0x1.26558cac315807eb07e448042101p-38L,
317 0x1.34e48a78aae96c76ed36077dd387p-18L,
318 0x1.34e48a78aae96c76ed36077dd388p-18L,
319 0x1.34e48a78aae96c76ed36077dd387p-18L,
320 0x1.34e48a78aae96c76ed36077dd387p-18L,
321 ALL_STD_EXCEPT, FE_INEXACT);
322 #elif LDBL_MANT_DIG == 64
323 testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L,
324 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L,
325 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L,
326 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT);
327 #elif LDBL_MANT_DIG == 53
328 testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L,
329 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L,
330 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L,
331 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT);
334 /* ilogb(x*y) - ilogb(z) = -40 */
335 testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70,
336 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70,
337 ALL_STD_EXCEPT, FE_INEXACT);
338 testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24,
339 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70,
340 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70,
341 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT);
342 #if LDBL_MANT_DIG == 113
343 testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L,
344 0x1.9556ac1475f0f28968b61d0de65ap-24L,
345 0x1.d87da3aafc60d830aa4c6d73b749p70L,
346 0x1.d87da3aafda3f36a69eb86488224p70L,
347 0x1.d87da3aafda3f36a69eb86488225p70L,
348 0x1.d87da3aafda3f36a69eb86488224p70L,
349 0x1.d87da3aafda3f36a69eb86488224p70L,
350 ALL_STD_EXCEPT, FE_INEXACT);
351 #elif LDBL_MANT_DIG == 64
352 testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L,
353 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L,
354 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L,
355 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT);
356 #elif LDBL_MANT_DIG == 53
357 testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L,
358 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L,
359 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L,
360 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT);
363 /* ilogb(x*y) - ilogb(z) = 0 */
364 testrnd(fmaf, 0x1.31ad02p+100, 0x1.2fbf7ap-42, -0x1.c3e106p+58,
365 -0x1.64c27cp+56, -0x1.64c27ap+56, -0x1.64c27cp+56,
366 -0x1.64c27ap+56, ALL_STD_EXCEPT, FE_INEXACT);
367 testrnd(fma, 0x1.31ad012ede8aap+100, 0x1.2fbf79c839067p-42,
368 -0x1.c3e106929056ep+58, -0x1.64c282b970a5fp+56,
369 -0x1.64c282b970a5ep+56, -0x1.64c282b970a5fp+56,
370 -0x1.64c282b970a5ep+56, ALL_STD_EXCEPT, FE_INEXACT);
371 #if LDBL_MANT_DIG == 113
372 testrnd(fmal, 0x1.31ad012ede8aa282fa1c19376d16p+100L,
373 0x1.2fbf79c839066f0f5c68f6d2e814p-42L,
374 -0x1.c3e106929056ec19de72bfe64215p+58L,
375 -0x1.64c282b970a612598fc025ca8cddp+56L,
376 -0x1.64c282b970a612598fc025ca8cddp+56L,
377 -0x1.64c282b970a612598fc025ca8cdep+56L,
378 -0x1.64c282b970a612598fc025ca8cddp+56L,
379 ALL_STD_EXCEPT, FE_INEXACT);
380 #elif LDBL_MANT_DIG == 64
381 testrnd(fmal, 0x1.31ad012ede8aa4eap+100L, 0x1.2fbf79c839066aeap-42L,
382 -0x1.c3e106929056e61p+58L, -0x1.64c282b970a60298p+56L,
383 -0x1.64c282b970a60298p+56L, -0x1.64c282b970a6029ap+56L,
384 -0x1.64c282b970a60298p+56L, ALL_STD_EXCEPT, FE_INEXACT);
385 #elif LDBL_MANT_DIG == 53
386 testrnd(fmal, 0x1.31ad012ede8aap+100L, 0x1.2fbf79c839067p-42L,
387 -0x1.c3e106929056ep+58L, -0x1.64c282b970a5fp+56L,
388 -0x1.64c282b970a5ep+56L, -0x1.64c282b970a5fp+56L,
389 -0x1.64c282b970a5ep+56L, ALL_STD_EXCEPT, FE_INEXACT);
392 /* x*y (rounded) ~= -z */
393 /* XXX spurious inexact exceptions */
394 testrnd(fmaf, 0x1.bbffeep-30, -0x1.1d164cp-74, 0x1.ee7296p-104,
395 -0x1.c46ea8p-128, -0x1.c46ea8p-128, -0x1.c46ea8p-128,
396 -0x1.c46ea8p-128, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
397 testrnd(fma, 0x1.bbffeea6fc7d6p-30, 0x1.1d164c6cbf078p-74,
398 -0x1.ee72993aff948p-104, -0x1.71f72ac7d9d8p-159,
399 -0x1.71f72ac7d9d8p-159, -0x1.71f72ac7d9d8p-159,
400 -0x1.71f72ac7d9d8p-159, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
401 #if LDBL_MANT_DIG == 113
402 testrnd(fmal, 0x1.bbffeea6fc7d65927d147f437675p-30L,
403 0x1.1d164c6cbf078b7a22607d1cd6a2p-74L,
404 -0x1.ee72993aff94973876031bec0944p-104L,
405 0x1.64e086175b3a2adc36e607058814p-217L,
406 0x1.64e086175b3a2adc36e607058814p-217L,
407 0x1.64e086175b3a2adc36e607058814p-217L,
408 0x1.64e086175b3a2adc36e607058814p-217L,
409 ALL_STD_EXCEPT & ~FE_INEXACT, 0);
410 #elif LDBL_MANT_DIG == 64
411 testrnd(fmal, 0x1.bbffeea6fc7d6592p-30L, 0x1.1d164c6cbf078b7ap-74L,
412 -0x1.ee72993aff949736p-104L, 0x1.af190e7a1ee6ad94p-168L,
413 0x1.af190e7a1ee6ad94p-168L, 0x1.af190e7a1ee6ad94p-168L,
414 0x1.af190e7a1ee6ad94p-168L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
415 #elif LDBL_MANT_DIG == 53
416 testrnd(fmal, 0x1.bbffeea6fc7d6p-30L, 0x1.1d164c6cbf078p-74L,
417 -0x1.ee72993aff948p-104L, -0x1.71f72ac7d9d8p-159L,
418 -0x1.71f72ac7d9d8p-159L, -0x1.71f72ac7d9d8p-159L,
419 -0x1.71f72ac7d9d8p-159L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
424 test_double_rounding(void)
428 * a = 0x1.8000000000001p0
429 * b = 0x1.8000000000001p0
430 * c = -0x0.0000000000000000000000000080...1p+1
431 * a * b = 0x1.2000000000001800000000000080p+1
433 * The correct behavior is to round DOWN to 0x1.2000000000001p+1 in
434 * round-to-nearest mode. An implementation that computes a*b+c in
435 * double+double precision, however, will get 0x1.20000000000018p+1,
438 fesetround(FE_TONEAREST);
439 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
440 -0x1.0000000000001p-104, 0x1.2000000000001p+1,
441 ALL_STD_EXCEPT, FE_INEXACT);
442 fesetround(FE_DOWNWARD);
443 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
444 -0x1.0000000000001p-104, 0x1.2000000000001p+1,
445 ALL_STD_EXCEPT, FE_INEXACT);
446 fesetround(FE_UPWARD);
447 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
448 -0x1.0000000000001p-104, 0x1.2000000000002p+1,
449 ALL_STD_EXCEPT, FE_INEXACT);
451 fesetround(FE_TONEAREST);
452 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
453 ALL_STD_EXCEPT, FE_INEXACT);
454 fesetround(FE_DOWNWARD);
455 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
456 ALL_STD_EXCEPT, FE_INEXACT);
457 fesetround(FE_UPWARD);
458 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1,
459 ALL_STD_EXCEPT, FE_INEXACT);
461 fesetround(FE_TONEAREST);
462 #if LDBL_MANT_DIG == 64
463 test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L,
464 0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT);
465 #elif LDBL_MANT_DIG == 113
466 test(fmal, 0x1.8000000000000000000000000001p+0L,
467 0x1.8000000000000000000000000001p+0L,
468 -0x1.0000000000000000000000000001p-224L,
469 0x1.2000000000000000000000000001p+1L, ALL_STD_EXCEPT, FE_INEXACT);
475 main(int argc, char *argv[])
477 int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
480 #if defined(__i386__)
481 printf("1..0 # SKIP all testcases fail on i386\n");
489 for (i = 0; i < nitems(rmodes); i++, j++) {
490 printf("rmode = %d\n", rmodes[i]);
491 fesetround(rmodes[i]);
493 printf("ok %d - fma zeroes\n", j);
496 for (i = 0; i < nitems(rmodes); i++, j++) {
497 #if defined(__amd64__)
498 printf("ok %d # SKIP testcase fails assertion on "
502 printf("rmode = %d\n", rmodes[i]);
503 fesetround(rmodes[i]);
505 printf("ok %d - fma infinities\n", j);
508 fesetround(FE_TONEAREST);
510 printf("ok %d - fma NaNs\n", j);
513 for (i = 0; i < nitems(rmodes); i++, j++) {
514 printf("rmode = %d\n", rmodes[i]);
515 fesetround(rmodes[i]);
517 printf("ok %d - fma small z\n", j);
520 for (i = 0; i < nitems(rmodes); i++, j++) {
521 printf("rmode = %d\n", rmodes[i]);
522 fesetround(rmodes[i]);
524 printf("ok %d - fma big z\n", j);
527 fesetround(FE_TONEAREST);
529 printf("ok %d - fma accuracy\n", j);
532 test_double_rounding();
533 printf("ok %d - fma double rounding\n", j);
538 * - Tests for subnormals
539 * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact)