Add roundeven, roundevenf, roundevenl.

TS 18661-1 defines roundeven functions that round a floating-point
number to the nearest integer, in that floating-point type, with ties
rounding to even (whereas the round functions round ties away from
zero).  As with other such functions, they raise no exceptions apart
from "invalid" for signaling NaNs.  There was a previous user request
for this functionality in glibc in
<https://sourceware.org/ml/libc-help/2015-02/msg00005.html>.

This patch implements these functions for glibc.  The implementations
use integer bit-manipulation (or roundeven on the high and low parts,
in the IBM long double case).  It's possible that there may be faster
approaches on some architectures (in particular, on AArch64 the frintn
instruction should do exactly what's required); I'll leave it to
architecture maintainers or others interested to implement such
architecture-specific versions if desired.  (Where architectures have
instructions to round to nearest integer in the current rounding mode,
implementations saving and restoring the rounding mode - and dealing
with exceptions if those instructions generate "inexact" - are also
possible, though their performance depends on the cost of manipulating
exceptions / rounding mode state.)

Tested for x86_64, x86, mips64 and powerpc.

	* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
	(roundeven): New declaration.
	* math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (roundeven): New
	macro.
	* math/Versions (roundeven): New libm symbol at version
	GLIBC_2.25.
	(roundevenf): Likewise.
	(roundevenl): Likewise.
	* math/Makefile (libm-calls): Add s_roundevenF.
	* math/libm-test.inc (roundeven_test_data): New array.
	(roundeven_test): New function.
	(main): Call roundeven_test.
	* math/test-tgmath.c (NCALLS): Increase to 134.
	(F(compile_test)): Call roundeven.
	(F(roundeven)): New function.
	* manual/arith.texi (Rounding Functions): Document roundeven,
	roundevenf and roundevenl.
	* manual/libm-err-tab.pl (@all_functions): Add roundeven.
	* include/math.h (roundeven): Use libm_hidden_proto.
	* sysdeps/ieee754/dbl-64/s_roundeven.c: New file.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_roundeven.c: Likewise.
	* sysdeps/ieee754/flt-32/s_roundevenf.c: Likewise.
	* sysdeps/ieee754/ldbl-128/s_roundevenl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_roundevenl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/s_roundevenl.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
	roundeven.
	(CFLAGS-nldbl-roundeven.c): New variable.
	* sysdeps/ieee754/ldbl-opt/nldbl-roundeven.c: New file.
	* sysdeps/nacl/libm.abilist: Update.
	* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.

6 files changed, 624 insertions, 3 deletions

diff --git a/math/Makefile b/math/Makefile
index ed1c4c92da..7b2eb5a5cd 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -75,7 +75,7 @@ libm-calls =								  \
 	s_issignalingF $(calls:s_%=m_%) x2y2m1F				  \
 	gamma_productF lgamma_negF lgamma_productF			  \
 	s_nextupF s_totalorderF s_totalordermagF s_getpayloadF		  \
-	s_setpayloadF s_setpayloadsigF $(gen-libm-calls)
+	s_setpayloadF s_setpayloadsigF s_roundevenF $(gen-libm-calls)
 
 libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
 libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
diff --git a/math/Versions b/math/Versions
index eebfac35fd..b6a4fa34d8 100644
--- a/math/Versions
+++ b/math/Versions
@@ -225,5 +225,6 @@ libm {
     setpayloadsig; setpayloadsigf; setpayloadsigl;
     llogb; llogbf; llogbl;
     fmaxmag; fmaxmagf; fmaxmagl; fminmag; fminmagf; fminmagl;
+    roundeven; roundevenf; roundevenl;
   }
 }
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index 824f95b58e..4fd8bab14e 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -385,6 +385,9 @@ __END_NAMESPACE_C99
 #endif
 
 #if __GLIBC_USE (IEC_60559_BFP_EXT)
+/* Round X to nearest integer value, rounding halfway cases to even.  */
+__MATHCALLX (roundeven,, (_Mdouble_ __x), (__const__));
+
 /* Return value with maximum magnitude.  */
 __MATHCALLX (fmaxmag,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
 
diff --git a/math/libm-test.inc b/math/libm-test.inc
index e48229320c..e096e21057 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -47,7 +47,7 @@
    ldexp, lgamma, llogb, log, log10, log1p, log2, logb,
    modf, nearbyint, nextafter, nexttoward,
    pow, pow10, remainder, remquo, rint, lrint, llrint,
-   round, lround, llround,
+   round, roundeven, lround, llround,
    scalb, scalbn, scalbln, setpayload, setpayloadsig, signbit,
    sin, sincos, sinh, sqrt,
    tan, tanh, tgamma, totalorder, totalordermag, trunc,
@@ -12460,6 +12460,609 @@ round_test (void)
 }
 
 
+static const struct test_f_f_data roundeven_test_data[] =
+  {
+    TEST_f_f (roundeven, plus_zero, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, minus_zero, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, plus_infty, plus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, minus_infty, minus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+    TEST_f_f (roundeven, -snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+
+    TEST_f_f (roundeven, min_subnorm_value, 0.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, min_value, 0.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2, 2, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3, 3, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4, 4, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5, 5, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p23, 0x1p23, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p24, 0x1p24, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p25, 0x1p25, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p52, 0x1p52, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p53, 0x1p53, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p54, 0x1p54, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p63, 0x1p63, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p64, 0x1p64, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p65, 0x1p65, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p105, 0x1p105, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p106, 0x1p106, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p107, 0x1p107, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p112, 0x1p112, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p113, 0x1p113, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1p114, 0x1p114, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, max_value, max_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -min_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1, -1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2, -2, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3, -3, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4, -4, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5, -5, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p23, -0x1p23, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p24, -0x1p24, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p25, -0x1p25, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p52, -0x1p52, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p53, -0x1p53, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p54, -0x1p54, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p63, -0x1p63, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p64, -0x1p64, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p65, -0x1p65, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p105, -0x1p105, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p106, -0x1p106, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p107, -0x1p107, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p112, -0x1p112, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p113, -0x1p113, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1p114, -0x1p114, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -max_value, -max_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+
+    TEST_f_f (roundeven, 0.1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.2, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.2, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.25, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.25, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.499, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.499, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.5, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.5, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.501, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.501, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.625, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.625, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.75, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.75, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0.8, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0.8, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1.25, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1.25, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1.499, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1.499, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1.5, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1.5, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1.501, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1.501, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 1.75, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -1.75, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2.25, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2.25, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2.499, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2.499, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2.5, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2.5, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2.501, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2.501, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 2.75, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -2.75, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3.25, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3.25, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3.499, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3.499, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3.5, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3.5, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3.501, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3.501, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 3.75, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -3.75, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4.25, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4.25, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4.499, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4.499, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4.5, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4.5, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4.501, 5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4.501, -5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 4.75, 5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -4.75, -5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5.25, 5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5.25, -5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5.499, 5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5.499, -5.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5.5, 6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5.5, -6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5.501, 6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5.501, -6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 5.75, 6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -5.75, -6.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+
+    /* 0.5, 1.5, 2.5, 3.5 +/- 1ulp.  */
+    TEST_f_f (roundeven, 0x0.ffffffp-1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x0.ffffffp-1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1.000002p-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1.000002p-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2.fffffcp-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2.fffffcp-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3.000004p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3.000004p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4.fffff8p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4.fffff8p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x5.000008p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x5.000008p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x6.fffff8p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x6.fffff8p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7.000008p-1, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7.000008p-1, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if MANT_DIG >= 53
+    TEST_f_f (roundeven, 0x0.fffffffffffff8p-1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x0.fffffffffffff8p-1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1.0000000000001p-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1.0000000000001p-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2.ffffffffffffep-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2.ffffffffffffep-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3.0000000000002p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3.0000000000002p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4.ffffffffffffcp-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4.ffffffffffffcp-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x5.0000000000004p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x5.0000000000004p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x6.ffffffffffffcp-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x6.ffffffffffffcp-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7.0000000000004p-1, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7.0000000000004p-1, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 64
+    TEST_f_f (roundeven, 0x0.ffffffffffffffffp-1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x0.ffffffffffffffffp-1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1.0000000000000002p-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1.0000000000000002p-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2.fffffffffffffffcp-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2.fffffffffffffffcp-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3.0000000000000004p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3.0000000000000004p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4.fffffffffffffff8p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4.fffffffffffffff8p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x5.0000000000000008p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x5.0000000000000008p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x6.fffffffffffffff8p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x6.fffffffffffffff8p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7.0000000000000008p-1, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7.0000000000000008p-1, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 106
+    TEST_f_f (roundeven, 0x0.ffffffffffffffffffffffffffcp-1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x0.ffffffffffffffffffffffffffcp-1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1.000000000000000000000000008p-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1.000000000000000000000000008p-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2.ffffffffffffffffffffffffffp-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2.ffffffffffffffffffffffffffp-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3.00000000000000000000000001p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3.00000000000000000000000001p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4.fffffffffffffffffffffffffep-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4.fffffffffffffffffffffffffep-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x5.00000000000000000000000002p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x5.00000000000000000000000002p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x6.fffffffffffffffffffffffffep-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x6.fffffffffffffffffffffffffep-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7.00000000000000000000000002p-1, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7.00000000000000000000000002p-1, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_f_f (roundeven, 0x0.ffffffffffffffffffffffffffff8p-1, plus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x0.ffffffffffffffffffffffffffff8p-1, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1.0000000000000000000000000001p-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1.0000000000000000000000000001p-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2.fffffffffffffffffffffffffffep-1, 1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2.fffffffffffffffffffffffffffep-1, -1.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3.0000000000000000000000000002p-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3.0000000000000000000000000002p-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4.fffffffffffffffffffffffffffcp-1, 2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4.fffffffffffffffffffffffffffcp-1, -2.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x5.0000000000000000000000000004p-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x5.0000000000000000000000000004p-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x6.fffffffffffffffffffffffffffcp-1, 3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x6.fffffffffffffffffffffffffffcp-1, -3.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7.0000000000000000000000000004p-1, 4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7.0000000000000000000000000004p-1, -4.0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+
+    /* 31, 32, 33 fractional bits.  */
+#if MANT_DIG >= 53
+    TEST_f_f (roundeven, 0x200000.7ffffffep0, 0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000.7ffffffep0, -0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000.8p0, 0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000.8p0, -0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000.80000002p0, 0x200001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000.80000002p0, -0x200001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200001.7ffffffep0, 0x200001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200001.7ffffffep0, -0x200001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200001.8p0, 0x200002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200001.8p0, -0x200002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200001.80000002p0, 0x200002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200001.80000002p0, -0x200002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3fffff.fffffffep0, 0x400000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3fffff.fffffffep0, -0x400000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000.7fffffffp0, 0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000.7fffffffp0, -0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000.8p0, 0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000.8p0, -0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000.80000001p0, 0x100001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000.80000001p0, -0x100001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100001.7fffffffp0, 0x100001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100001.7fffffffp0, -0x100001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100001.8p0, 0x100002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100001.8p0, -0x100002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100001.80000001p0, 0x100002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100001.80000001p0, -0x100002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1fffff.ffffffffp0, 0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1fffff.ffffffffp0, -0x200000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000.7fffffff8p0, 0x80000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000.7fffffff8p0, -0x80000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000.8p0, 0x80000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000.8p0, -0x80000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000.800000008p0, 0x80001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000.800000008p0, -0x80001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80001.7fffffff8p0, 0x80001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80001.7fffffff8p0, -0x80001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80001.8p0, 0x80002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80001.8p0, -0x80002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80001.800000008p0, 0x80002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80001.800000008p0, -0x80002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xfffff.ffffffff8p0, 0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xfffff.ffffffff8p0, -0x100000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 64
+    TEST_f_f (roundeven, 0x100000000.7ffffffep0, 0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000.7ffffffep0, -0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000.8p0, 0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000.8p0, -0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000.80000002p0, 0x100000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000.80000002p0, -0x100000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000001.7ffffffep0, 0x100000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000001.7ffffffep0, -0x100000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000001.8p0, 0x100000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000001.8p0, -0x100000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000001.80000002p0, 0x100000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000001.80000002p0, -0x100000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffff.fffffffep0, 0x200000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffff.fffffffep0, -0x200000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000.7fffffffp0, 0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000.7fffffffp0, -0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000.8p0, 0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000.8p0, -0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000.80000001p0, 0x80000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000.80000001p0, -0x80000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000001.7fffffffp0, 0x80000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000001.7fffffffp0, -0x80000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000001.8p0, 0x80000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000001.8p0, -0x80000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000001.80000001p0, 0x80000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000001.80000001p0, -0x80000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xffffffff.ffffffffp0, 0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xffffffff.ffffffffp0, -0x100000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000.7fffffff8p0, 0x40000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000.7fffffff8p0, -0x40000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000.8p0, 0x40000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000.8p0, -0x40000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000.800000008p0, 0x40000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000.800000008p0, -0x40000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000001.7fffffff8p0, 0x40000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000001.7fffffff8p0, -0x40000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000001.8p0, 0x40000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000001.8p0, -0x40000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000001.800000008p0, 0x40000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000001.800000008p0, -0x40000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7fffffff.ffffffff8p0, 0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7fffffff.ffffffff8p0, -0x80000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 106
+    TEST_f_f (roundeven, 0x4000000000000000000.7ffffffep0, 0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000000.7ffffffep0, -0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4000000000000000000.8p0, 0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000000.8p0, -0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4000000000000000000.80000002p0, 0x4000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000000.80000002p0, -0x4000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4000000000000000001.7ffffffep0, 0x4000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000001.7ffffffep0, -0x4000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4000000000000000001.8p0, 0x4000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000001.8p0, -0x4000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x4000000000000000001.80000002p0, 0x4000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x4000000000000000001.80000002p0, -0x4000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7ffffffffffffffffff.fffffffep0, 0x8000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7ffffffffffffffffff.fffffffep0, -0x8000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000000.7fffffffp0, 0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000000.7fffffffp0, -0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000000.8p0, 0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000000.8p0, -0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000000.80000001p0, 0x2000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000000.80000001p0, -0x2000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000001.7fffffffp0, 0x2000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000001.7fffffffp0, -0x2000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000001.8p0, 0x2000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000001.8p0, -0x2000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000000001.80000001p0, 0x2000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000000001.80000001p0, -0x2000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3ffffffffffffffffff.ffffffffp0, 0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3ffffffffffffffffff.ffffffffp0, -0x4000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000000.7fffffff8p0, 0x1000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000000.7fffffff8p0, -0x1000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000000.8p0, 0x1000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000000.8p0, -0x1000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000000.800000008p0, 0x1000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000000.800000008p0, -0x1000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000001.7fffffff8p0, 0x1000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000001.7fffffff8p0, -0x1000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000001.8p0, 0x1000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000001.8p0, -0x1000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000000001.800000008p0, 0x1000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000000001.800000008p0, -0x1000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffffffffffffff.ffffffff8p0, 0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffffffffffffff.ffffffff8p0, -0x2000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_f_f (roundeven, 0x200000000000000000000.7ffffffep0, 0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000.7ffffffep0, -0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000.8p0, 0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000.8p0, -0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000.80000002p0, 0x200000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000.80000002p0, -0x200000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000001.7ffffffep0, 0x200000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000001.7ffffffep0, -0x200000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000001.8p0, 0x200000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000001.8p0, -0x200000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000001.80000002p0, 0x200000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000001.80000002p0, -0x200000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3ffffffffffffffffffff.fffffffep0, 0x400000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3ffffffffffffffffffff.fffffffep0, -0x400000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000000.7fffffffp0, 0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000000.7fffffffp0, -0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000000.8p0, 0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000000.8p0, -0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000000.80000001p0, 0x100000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000000.80000001p0, -0x100000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000001.7fffffffp0, 0x100000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000001.7fffffffp0, -0x100000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000001.8p0, 0x100000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000001.8p0, -0x100000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x100000000000000000001.80000001p0, 0x100000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x100000000000000000001.80000001p0, -0x100000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffffffffffffffff.ffffffffp0, 0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffffffffffffffff.ffffffffp0, -0x200000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000000.7fffffff8p0, 0x80000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000000.7fffffff8p0, -0x80000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000000.8p0, 0x80000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000000.8p0, -0x80000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000000.800000008p0, 0x80000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000000.800000008p0, -0x80000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000001.7fffffff8p0, 0x80000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000001.7fffffff8p0, -0x80000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000001.8p0, 0x80000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000001.8p0, -0x80000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x80000000000000000001.800000008p0, 0x80000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x80000000000000000001.800000008p0, -0x80000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xffffffffffffffffffff.ffffffff8p0, 0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xffffffffffffffffffff.ffffffff8p0, -0x100000000000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+
+    /* 63, 64, 65 fractional bits.  */
+#if MANT_DIG >= 106
+    TEST_f_f (roundeven, 0x40000000000.7ffffffffffffffep0, 0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000000.7ffffffffffffffep0, -0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000000.8p0, 0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000000.8p0, -0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000000.8000000000000002p0, 0x40000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000000.8000000000000002p0, -0x40000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000001.7ffffffffffffffep0, 0x40000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000001.7ffffffffffffffep0, -0x40000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000001.8p0, 0x40000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000001.8p0, -0x40000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x40000000001.8000000000000002p0, 0x40000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x40000000001.8000000000000002p0, -0x40000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x7ffffffffff.fffffffffffffffep0, 0x80000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x7ffffffffff.fffffffffffffffep0, -0x80000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000000.7fffffffffffffffp0, 0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000000.7fffffffffffffffp0, -0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000000.8p0, 0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000000.8p0, -0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000000.8000000000000001p0, 0x20000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000000.8000000000000001p0, -0x20000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000001.7fffffffffffffffp0, 0x20000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000001.7fffffffffffffffp0, -0x20000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000001.8p0, 0x20000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000001.8p0, -0x20000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x20000000001.8000000000000001p0, 0x20000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x20000000001.8000000000000001p0, -0x20000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3ffffffffff.ffffffffffffffffp0, 0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3ffffffffff.ffffffffffffffffp0, -0x40000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000.7fffffffffffffff8p0, 0x10000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000.7fffffffffffffff8p0, -0x10000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000.8p0, 0x10000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000.8p0, -0x10000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000.80000000000000008p0, 0x10000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000.80000000000000008p0, -0x10000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000001.7fffffffffffffff8p0, 0x10000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000001.7fffffffffffffff8p0, -0x10000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000001.8p0, 0x10000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000001.8p0, -0x10000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000001.80000000000000008p0, 0x10000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000001.80000000000000008p0, -0x10000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffffff.ffffffffffffffff8p0, 0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffffff.ffffffffffffffff8p0, -0x20000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_f_f (roundeven, 0x2000000000000.7ffffffffffffffep0, 0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000.7ffffffffffffffep0, -0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000.8p0, 0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000.8p0, -0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000000.8000000000000002p0, 0x2000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000000.8000000000000002p0, -0x2000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000001.7ffffffffffffffep0, 0x2000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000001.7ffffffffffffffep0, -0x2000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000001.8p0, 0x2000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000001.8p0, -0x2000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x2000000000001.8000000000000002p0, 0x2000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x2000000000001.8000000000000002p0, -0x2000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3ffffffffffff.fffffffffffffffep0, 0x4000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3ffffffffffff.fffffffffffffffep0, -0x4000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000.7fffffffffffffffp0, 0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000.7fffffffffffffffp0, -0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000.8p0, 0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000.8p0, -0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000000.8000000000000001p0, 0x1000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000000.8000000000000001p0, -0x1000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000001.7fffffffffffffffp0, 0x1000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000001.7fffffffffffffffp0, -0x1000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000001.8p0, 0x1000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000001.8p0, -0x1000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1000000000001.8000000000000001p0, 0x1000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1000000000001.8000000000000001p0, -0x1000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffffffff.ffffffffffffffffp0, 0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffffffff.ffffffffffffffffp0, -0x2000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000000.7fffffffffffffff8p0, 0x800000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000000.7fffffffffffffff8p0, -0x800000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000000.8p0, 0x800000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000000.8p0, -0x800000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000000.80000000000000008p0, 0x800000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000000.80000000000000008p0, -0x800000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000001.7fffffffffffffff8p0, 0x800000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000001.7fffffffffffffff8p0, -0x800000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000001.8p0, 0x800000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000001.8p0, -0x800000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800000000001.80000000000000008p0, 0x800000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800000000001.80000000000000008p0, -0x800000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xffffffffffff.ffffffffffffffff8p0, 0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xffffffffffff.ffffffffffffffff8p0, -0x1000000000000p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+
+    /* Maximum exponent for noninteger values.  */
+    TEST_f_f (roundeven, 0x800001p-1, 0x800000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800001p-1, -0x800000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800002p-1, 0x800002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800002p-1, -0x800002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800003p-1, 0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800003p-1, -0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800004p-1, 0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800004p-1, -0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800005p-1, 0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800005p-1, -0x800004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xffffffp-1, 0x1000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xffffffp-1, -0x1000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if MANT_DIG >= 53
+    TEST_f_f (roundeven, 0x10000000000001p-1, 0x10000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000001p-1, -0x10000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000002p-1, 0x10000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000002p-1, -0x10000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000003p-1, 0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000003p-1, -0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000004p-1, 0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000004p-1, -0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000005p-1, 0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000005p-1, -0x10000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1fffffffffffffp-1, 0x20000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1fffffffffffffp-1, -0x20000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 64
+    TEST_f_f (roundeven, 0x8000000000000001p-1, 0x8000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000001p-1, -0x8000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000002p-1, 0x8000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000002p-1, -0x8000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000003p-1, 0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000003p-1, -0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000004p-1, 0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000004p-1, -0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000005p-1, 0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000005p-1, -0x8000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0xffffffffffffffffp-1, 0x10000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0xffffffffffffffffp-1, -0x10000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 106
+    TEST_f_f (roundeven, 0x200000000000000000000000001p-1, 0x200000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000001p-1, -0x200000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000002p-1, 0x200000000000000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000002p-1, -0x200000000000000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000003p-1, 0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000003p-1, -0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000004p-1, 0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000004p-1, -0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000005p-1, 0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000005p-1, -0x200000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x3ffffffffffffffffffffffffffp-1, 0x400000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x3ffffffffffffffffffffffffffp-1, -0x400000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_f_f (roundeven, 0x10000000000000000000000000001p-1, 0x10000000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000001p-1, -0x10000000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000002p-1, 0x10000000000000000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000002p-1, -0x10000000000000000000000000002p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000003p-1, 0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000003p-1, -0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000004p-1, 0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000004p-1, -0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000005p-1, 0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000005p-1, -0x10000000000000000000000000004p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x1ffffffffffffffffffffffffffffp-1, 0x20000000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x1ffffffffffffffffffffffffffffp-1, -0x20000000000000000000000000000p-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+
+    /* Minimum exponent forcing integer values.  */
+    TEST_f_f (roundeven, 0x800001p0, 0x800001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800001p0, -0x800001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800002p0, 0x800002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800002p0, -0x800002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x800003p0, 0x800003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x800003p0, -0x800003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if MANT_DIG >= 53
+    TEST_f_f (roundeven, 0x10000000000001p0, 0x10000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000001p0, -0x10000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000002p0, 0x10000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000002p0, -0x10000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000003p0, 0x10000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000003p0, -0x10000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 64
+    TEST_f_f (roundeven, 0x8000000000000001p0, 0x8000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000001p0, -0x8000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000002p0, 0x8000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000002p0, -0x8000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x8000000000000003p0, 0x8000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x8000000000000003p0, -0x8000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 106
+    TEST_f_f (roundeven, 0x200000000000000000000000001p0, 0x200000000000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000001p0, -0x200000000000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000002p0, 0x200000000000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000002p0, -0x200000000000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x200000000000000000000000003p0, 0x200000000000000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x200000000000000000000000003p0, -0x200000000000000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_f_f (roundeven, 0x10000000000000000000000000001p0, 0x10000000000000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000001p0, -0x10000000000000000000000000001p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000002p0, 0x10000000000000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000002p0, -0x10000000000000000000000000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, 0x10000000000000000000000000003p0, 0x10000000000000000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (roundeven, -0x10000000000000000000000000003p0, -0x10000000000000000000000000003p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+  };
+
+static void
+roundeven_test (void)
+{
+  ALL_RM_TEST (roundeven, 1, roundeven_test_data, RUN_TEST_LOOP_f_f, END);
+}
+
+
 static const struct test_ff_f_data scalb_test_data[] =
   {
     /* Results in this case are unspecified by POSIX, so, for an
@@ -14266,6 +14869,7 @@ main (int argc, char **argv)
   lrint_test ();
   llrint_test ();
   round_test ();
+  roundeven_test ();
   lround_test ();
   llround_test ();
   trunc_test ();
diff --git a/math/test-tgmath.c b/math/test-tgmath.c
index b9095271ea..7a58d99985 100644
--- a/math/test-tgmath.c
+++ b/math/test-tgmath.c
@@ -50,7 +50,7 @@ int count_cdouble;
 int count_cfloat;
 int count_cldouble;
 
-#define NCALLS     132
+#define NCALLS     134
 #define NCALLS_INT 4
 #define NCCALLS    47
 
@@ -264,6 +264,7 @@ F(compile_test) (void)
   b = fmod (fmod (a, b), fmod (c, x));
   a = nearbyint (nearbyint (x));
   b = round (round (a));
+  c = roundeven (roundeven (a));
   a = trunc (trunc (x));
   b = remquo (remquo (a, b, &i), remquo (c, x, &i), &i);
   j = lrint (x) + lround (a);
@@ -367,6 +368,7 @@ F(compile_test) (void)
       a = fmod (y, y);
       a = nearbyint (y);
       a = round (y);
+      a = roundeven (y);
       a = trunc (y);
       a = remquo (y, y, &i);
       j = lrint (y) + lround (y);
@@ -693,6 +695,14 @@ TYPE
 }
 
 TYPE
+(F(roundeven)) (TYPE x)
+{
+  ++count;
+  P ();
+  return x;
+}
+
+TYPE
 (F(trunc)) (TYPE x)
 {
   ++count;
diff --git a/math/tgmath.h b/math/tgmath.h
index 8a895a5447..433a348393 100644
--- a/math/tgmath.h
+++ b/math/tgmath.h
@@ -438,6 +438,9 @@
      __TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
 
 #if __GLIBC_USE (IEC_60559_BFP_EXT)
+/* Round X to nearest integer value, rounding halfway cases to even.  */
+# define roundeven(Val) __TGMATH_UNARY_REAL_ONLY (Val, roundeven)
+
 /* Like ilogb, but returning long int.  */
 # define llogb(Val) __TGMATH_UNARY_REAL_RET_ONLY (Val, long int, llogb)