Merge remote-tracking branch 'origin/stable/10' into devel

1 files changed, 542 insertions, 0 deletions

diff --git a/lib/msun/tests/fma_test.c b/lib/msun/tests/fma_test.c
new file mode 100644
index 0000000..af7910e
--- /dev/null
+++ b/lib/msun/tests/fma_test.c
@@ -0,0 +1,542 @@
+/*-
+ * 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.
+ */
+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(int argc, char *argv[])
+{
+	int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO };
+	int 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;
+#endif
+		printf("rmode = %d\n", rmodes[i]);
+		fesetround(rmodes[i]);
+		test_infinities();
+		printf("ok %d - fma infinities\n", j);
+	}
+
+	fesetround(FE_TONEAREST);
+	test_nans();
+	printf("ok 9 - fma NaNs\n");
+
+	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);
+}