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freebsd-nq/lib/msun/tests/fma_test.c
Enji Cooper 2dd512c37f fma_test: mute a warning about unreachable code on amd64 by restructuring 
the #ifdef block to only handle the rest of the logic in the loop in the
#else case.

MFC after:	3 days
Reported by:	Coverity
CID:		1346844
Sponsored by:	Dell EMC Isilon
2017-05-29 18:45:10 +00:00

545 lines
19 KiB
C
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/*-
* Copyright (c) 2008 David Schultz <das@FreeBSD.org>
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
*
* THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
/*
* Tests for fma{,f,l}().
*/
#include <sys/cdefs.h>
__FBSDID("$FreeBSD$");
#include <sys/param.h>
#include <assert.h>
#include <fenv.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "test-utils.h"
#pragma STDC FENV_ACCESS ON
/*
* Test that a function returns the correct value and sets the
* exception flags correctly. The exceptmask specifies which
* exceptions we should check. We need to be lenient for several
* reasons, but mainly because on some architectures it's impossible
* to raise FE_OVERFLOW without raising FE_INEXACT.
*
* These are macros instead of functions so that assert provides more
* meaningful error messages.
*/
#define test(func, x, y, z, result, exceptmask, excepts) do { \
volatile long double _vx = (x), _vy = (y), _vz = (z); \
assert(feclearexcept(FE_ALL_EXCEPT) == 0); \
assert(fpequal((func)(_vx, _vy, _vz), (result))); \
assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \
} while (0)
#define testall(x, y, z, result, exceptmask, excepts) do { \
test(fma, (double)(x), (double)(y), (double)(z), \
(double)(result), (exceptmask), (excepts)); \
test(fmaf, (float)(x), (float)(y), (float)(z), \
(float)(result), (exceptmask), (excepts)); \
test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \
} while (0)
/* Test in all rounding modes. */
#define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \
fesetround(FE_TONEAREST); \
test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \
fesetround(FE_UPWARD); \
test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \
fesetround(FE_DOWNWARD); \
test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \
fesetround(FE_TOWARDZERO); \
test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \
} while (0)
/*
* This is needed because clang constant-folds fma in ways that are incorrect
* in rounding modes other than FE_TONEAREST.
*/
static volatile double one = 1.0;
static void
test_zeroes(void)
{
const int rd = (fegetround() == FE_DOWNWARD);
testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0);
testall(-0.0, 0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(0.0, -0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0);
testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0);
testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0);
testall(-one, one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(one, -one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
testall(-one, -one, -one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0);
switch (fegetround()) {
case FE_TONEAREST:
case FE_TOWARDZERO:
test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0,
ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0,
ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0,
ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW);
}
}
static void
test_infinities(void)
{
testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0);
testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0);
testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0);
testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0);
testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID);
/* The invalid exception is optional in this case. */
testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0);
testall(INFINITY, INFINITY, -INFINITY, NAN,
ALL_STD_EXCEPT, FE_INVALID);
testall(-INFINITY, INFINITY, INFINITY, NAN,
ALL_STD_EXCEPT, FE_INVALID);
testall(INFINITY, -1.0, INFINITY, NAN,
ALL_STD_EXCEPT, FE_INVALID);
test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0);
test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY,
ALL_STD_EXCEPT, 0);
test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0);
test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY,
ALL_STD_EXCEPT, 0);
}
static void
test_nans(void)
{
testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0);
testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0);
testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0);
testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0);
testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0);
/* x*y should not raise an inexact/overflow/underflow if z is NaN. */
testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0);
}
/*
* Tests for cases where z is very small compared to x*y.
*/
static void
test_small_z(void)
{
/* x*y positive, z positive */
if (fegetround() == FE_UPWARD) {
test(fmaf, one, one, 0x1.0p-100, 1.0 + FLT_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, one, one, 0x1.0p-200, 1.0 + DBL_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, one, one, 0x1.0p-200, 1.0 + LDBL_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(0x1.0p100, one, 0x1.0p-100, 0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* x*y negative, z negative */
if (fegetround() == FE_DOWNWARD) {
test(fmaf, -one, one, -0x1.0p-100, -(1.0 + FLT_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, -one, one, -0x1.0p-200, -(1.0 + DBL_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, -one, one, -0x1.0p-200, -(1.0 + LDBL_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(0x1.0p100, -one, -0x1.0p-100, -0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* x*y positive, z negative */
if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
test(fmaf, one, one, -0x1.0p-100, 1.0 - FLT_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, one, one, -0x1.0p-200, 1.0 - DBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, one, one, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(0x1.0p100, one, -0x1.0p-100, 0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* x*y negative, z positive */
if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
test(fmaf, -one, one, 0x1.0p-100, -1.0 + FLT_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, -one, one, 0x1.0p-200, -1.0 + DBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, -one, one, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(-0x1.0p100, one, 0x1.0p-100, -0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
}
/*
* Tests for cases where z is very large compared to x*y.
*/
static void
test_big_z(void)
{
/* z positive, x*y positive */
if (fegetround() == FE_UPWARD) {
test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON,
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* z negative, x*y negative */
if (fegetround() == FE_DOWNWARD) {
test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON),
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* z negative, x*y positive */
if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) {
test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0,
-1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
test(fma, -0x1.0p-100, -0x1.0p-100, -1.0,
-1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0,
-1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
/* z positive, x*y negative */
if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) {
test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2,
ALL_STD_EXCEPT, FE_INEXACT);
} else {
testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100,
ALL_STD_EXCEPT, FE_INEXACT);
}
}
static void
test_accuracy(void)
{
/* ilogb(x*y) - ilogb(z) = 20 */
testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38,
0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18,
ALL_STD_EXCEPT, FE_INEXACT);
testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32,
0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18,
0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18,
0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT);
#if LDBL_MANT_DIG == 113
testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L,
-0x1.600e7a2a164840edbe2e7d301a72p32L,
0x1.26558cac315807eb07e448042101p-38L,
0x1.34e48a78aae96c76ed36077dd387p-18L,
0x1.34e48a78aae96c76ed36077dd388p-18L,
0x1.34e48a78aae96c76ed36077dd387p-18L,
0x1.34e48a78aae96c76ed36077dd387p-18L,
ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 64
testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L,
0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L,
0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L,
0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 53
testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L,
0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L,
0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L,
0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT);
#endif
/* ilogb(x*y) - ilogb(z) = -40 */
testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70,
0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70,
ALL_STD_EXCEPT, FE_INEXACT);
testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24,
0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70,
0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70,
0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT);
#if LDBL_MANT_DIG == 113
testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L,
0x1.9556ac1475f0f28968b61d0de65ap-24L,
0x1.d87da3aafc60d830aa4c6d73b749p70L,
0x1.d87da3aafda3f36a69eb86488224p70L,
0x1.d87da3aafda3f36a69eb86488225p70L,
0x1.d87da3aafda3f36a69eb86488224p70L,
0x1.d87da3aafda3f36a69eb86488224p70L,
ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 64
testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L,
0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L,
0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L,
0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 53
testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L,
0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L,
0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L,
0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT);
#endif
/* ilogb(x*y) - ilogb(z) = 0 */
testrnd(fmaf, 0x1.31ad02p+100, 0x1.2fbf7ap-42, -0x1.c3e106p+58,
-0x1.64c27cp+56, -0x1.64c27ap+56, -0x1.64c27cp+56,
-0x1.64c27ap+56, ALL_STD_EXCEPT, FE_INEXACT);
testrnd(fma, 0x1.31ad012ede8aap+100, 0x1.2fbf79c839067p-42,
-0x1.c3e106929056ep+58, -0x1.64c282b970a5fp+56,
-0x1.64c282b970a5ep+56, -0x1.64c282b970a5fp+56,
-0x1.64c282b970a5ep+56, ALL_STD_EXCEPT, FE_INEXACT);
#if LDBL_MANT_DIG == 113
testrnd(fmal, 0x1.31ad012ede8aa282fa1c19376d16p+100L,
0x1.2fbf79c839066f0f5c68f6d2e814p-42L,
-0x1.c3e106929056ec19de72bfe64215p+58L,
-0x1.64c282b970a612598fc025ca8cddp+56L,
-0x1.64c282b970a612598fc025ca8cddp+56L,
-0x1.64c282b970a612598fc025ca8cdep+56L,
-0x1.64c282b970a612598fc025ca8cddp+56L,
ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 64
testrnd(fmal, 0x1.31ad012ede8aa4eap+100L, 0x1.2fbf79c839066aeap-42L,
-0x1.c3e106929056e61p+58L, -0x1.64c282b970a60298p+56L,
-0x1.64c282b970a60298p+56L, -0x1.64c282b970a6029ap+56L,
-0x1.64c282b970a60298p+56L, ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 53
testrnd(fmal, 0x1.31ad012ede8aap+100L, 0x1.2fbf79c839067p-42L,
-0x1.c3e106929056ep+58L, -0x1.64c282b970a5fp+56L,
-0x1.64c282b970a5ep+56L, -0x1.64c282b970a5fp+56L,
-0x1.64c282b970a5ep+56L, ALL_STD_EXCEPT, FE_INEXACT);
#endif
/* x*y (rounded) ~= -z */
/* XXX spurious inexact exceptions */
testrnd(fmaf, 0x1.bbffeep-30, -0x1.1d164cp-74, 0x1.ee7296p-104,
-0x1.c46ea8p-128, -0x1.c46ea8p-128, -0x1.c46ea8p-128,
-0x1.c46ea8p-128, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
testrnd(fma, 0x1.bbffeea6fc7d6p-30, 0x1.1d164c6cbf078p-74,
-0x1.ee72993aff948p-104, -0x1.71f72ac7d9d8p-159,
-0x1.71f72ac7d9d8p-159, -0x1.71f72ac7d9d8p-159,
-0x1.71f72ac7d9d8p-159, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
#if LDBL_MANT_DIG == 113
testrnd(fmal, 0x1.bbffeea6fc7d65927d147f437675p-30L,
0x1.1d164c6cbf078b7a22607d1cd6a2p-74L,
-0x1.ee72993aff94973876031bec0944p-104L,
0x1.64e086175b3a2adc36e607058814p-217L,
0x1.64e086175b3a2adc36e607058814p-217L,
0x1.64e086175b3a2adc36e607058814p-217L,
0x1.64e086175b3a2adc36e607058814p-217L,
ALL_STD_EXCEPT & ~FE_INEXACT, 0);
#elif LDBL_MANT_DIG == 64
testrnd(fmal, 0x1.bbffeea6fc7d6592p-30L, 0x1.1d164c6cbf078b7ap-74L,
-0x1.ee72993aff949736p-104L, 0x1.af190e7a1ee6ad94p-168L,
0x1.af190e7a1ee6ad94p-168L, 0x1.af190e7a1ee6ad94p-168L,
0x1.af190e7a1ee6ad94p-168L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
#elif LDBL_MANT_DIG == 53
testrnd(fmal, 0x1.bbffeea6fc7d6p-30L, 0x1.1d164c6cbf078p-74L,
-0x1.ee72993aff948p-104L, -0x1.71f72ac7d9d8p-159L,
-0x1.71f72ac7d9d8p-159L, -0x1.71f72ac7d9d8p-159L,
-0x1.71f72ac7d9d8p-159L, ALL_STD_EXCEPT & ~FE_INEXACT, 0);
#endif
}
static void
test_double_rounding(void)
{
/*
* a = 0x1.8000000000001p0
* b = 0x1.8000000000001p0
* c = -0x0.0000000000000000000000000080...1p+1
* a * b = 0x1.2000000000001800000000000080p+1
*
* The correct behavior is to round DOWN to 0x1.2000000000001p+1 in
* round-to-nearest mode. An implementation that computes a*b+c in
* double+double precision, however, will get 0x1.20000000000018p+1,
* and then round UP.
*/
fesetround(FE_TONEAREST);
test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
-0x1.0000000000001p-104, 0x1.2000000000001p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_DOWNWARD);
test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
-0x1.0000000000001p-104, 0x1.2000000000001p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_UPWARD);
test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0,
-0x1.0000000000001p-104, 0x1.2000000000002p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_TONEAREST);
test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_DOWNWARD);
test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_UPWARD);
test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1,
ALL_STD_EXCEPT, FE_INEXACT);
fesetround(FE_TONEAREST);
#if LDBL_MANT_DIG == 64
test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L,
0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT);
#elif LDBL_MANT_DIG == 113
test(fmal, 0x1.8000000000000000000000000001p+0L,
0x1.8000000000000000000000000001p+0L,
-0x1.0000000000000000000000000001p-224L,
0x1.2000000000000000000000000001p+1L, ALL_STD_EXCEPT, FE_INEXACT);
#endif
}
int
main(void)
{
int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
unsigned i, j;
#if defined(__i386__)
printf("1..0 # SKIP all testcases fail on i386\n");
exit(0);
#endif
j = 1;
printf("1..19\n");
for (i = 0; i < nitems(rmodes); i++, j++) {
printf("rmode = %d\n", rmodes[i]);
fesetround(rmodes[i]);
test_zeroes();
printf("ok %d - fma zeroes\n", j);
}
for (i = 0; i < nitems(rmodes); i++, j++) {
#if defined(__amd64__)
printf("ok %d # SKIP testcase fails assertion on "
"amd64\n", j);
continue;
#else
printf("rmode = %d\n", rmodes[i]);
fesetround(rmodes[i]);
test_infinities();
printf("ok %d - fma infinities\n", j);
#endif
}
fesetround(FE_TONEAREST);
test_nans();
printf("ok %d - fma NaNs\n", j);
j++;
for (i = 0; i < nitems(rmodes); i++, j++) {
printf("rmode = %d\n", rmodes[i]);
fesetround(rmodes[i]);
test_small_z();
printf("ok %d - fma small z\n", j);
}
for (i = 0; i < nitems(rmodes); i++, j++) {
printf("rmode = %d\n", rmodes[i]);
fesetround(rmodes[i]);
test_big_z();
printf("ok %d - fma big z\n", j);
}
fesetround(FE_TONEAREST);
test_accuracy();
printf("ok %d - fma accuracy\n", j);
j++;
test_double_rounding();
printf("ok %d - fma double rounding\n", j);
j++;
/*
* TODO:
* - Tests for subnormals
* - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact)
*/
return (0);
}
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