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Re: [PATCH v4] Add nextup and nextdown math functions




On 06/16/2016 04:12 AM, Joseph Myers wrote:
On Wed, 15 Jun 2016, Rajalakshmi Srinivasaraghavan wrote:

On 06/14/2016 07:59 PM, Joseph Myers wrote:
On Tue, 14 Jun 2016, Rajalakshmi Srinivasaraghavan wrote:

+#if TEST_COND_m68k96
+    TEST_ff_f (nextafter, -0x0.fffffffep-16383L, 0.0L,
-0x3.fffffff7fffffff0p-16385L,
INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION|ERRNO_ERANGE),
   #endif
I think the test you have there is wrong for m68k96.  For intel96, the
smallest normal exponent is -16382; for m68k96, the smallest normal
exponent is -16383.  This input has exponent -16384.  So for m68k96 it's a
63-bit mantissa.  The input has bits <31 1s><32 0s>.  So the correct
output has bits <30 1s><0><32 1s>.  But your output has bits <30 1s><0><31
1s>.  That is, the final digit in your output should be 8, not 0.

In general, it seems very confusing in such tests to show the exponent
differently in the output from the input.  Why do you show the input with
exponent -16383 but the output with exponent -16385?  That applies to
other tests in this patch as well.


Addressed comments in the attached patch.
+#if TEST_COND_m68k96
+    TEST_ff_f (nextafter, -0x0.fffffffep-16383L, 0.0L, -0x0.fffffffdfffffffcp-16383L, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION|ERRNO_ERANGE),
  #endif
I think this test is still wrong, and that the final digit of the result
should be 'e' not 'c', as in the intel96 test (the exponents in the tests
differ by 1, corresponding to the difference between the formats, so both
involve 63-bit mantissas.)

Likewise for the copies in the nextup and nextdown tests.

Changed it in the attached patch.

--
Thanks
Rajalakshmi S

>From 96985da95c8eb89f97bfa72065d26e086730bbc1 Mon Sep 17 00:00:00 2001
From: Rajalakshmi Srinivasaraghavan <raji@linux.vnet.ibm.com>
Date: Thu, 16 Jun 2016 02:55:32 -0400
Subject: [PATCH] Add nextup and nextdown math functions

TS 18661 adds nextup and nextdown functions alongside nextafter to provide
support for float128 equivalent to it.  This patch adds nextupl, nextup,
nextupf, nextdownl, nextdown and nextdownf to libm before float128 support.

The nextup functions return the next representable value in the direction of
positive infinity and the nextdown functions return the next representable
value in the direction of negative infinity.  These are currently enabled
as GNU extensions.

2016-06-16  Rajalakshmi Srinivasaraghavan  <raji@linux.vnet.ibm.com>

	* NEWS: Mention addition of nextup and nextdown.
	* manual/arith.texi: Document nextup and nextdown.
	* manual/libm-err-tab.pl: Add nextup and nextdown.
	* math/Makefile (libm-calls): Add s_nextdown and s_nextup.
	* math/Versions (libm): Add GLIBC_2.24.
	* math/bits/mathcalls.h: Add nextup and nextdown declaration.
	* math/libm-test.inc (nextafter_test_data) [TEST_COND_intel96]:
	Add new test.
	(nextafter_test_data) [TEST_COND_binary32]: Likewise.
	(nextafter_test_data) [TEST_COND_m68k96]: Likewise.
	(nextafter_test_data) [TEST_COND_binary64]: Likewise.
	(nextafter_test_data) [TEST_COND_binary128]: Likewise.
	(nextup_test_data): Likewise.
	(nextdown_test_data): Likewise.
	* math/s_nextdown.c: New file.
	* math/s_nextdownf.c: Likewise.
	* math/s_nextdownl.c: Likewise.
	* math/test-tgmath.c F(compile_test)): Add nextup and nextdown tests.
	F(nextup): New function.
	F(nextdown): Likewise.
	* math/tgmath.h: Add nextup and nextdown.
	* sysdeps/ieee754/flt-32/s_nextupf.c: New file.
	* sysdeps/ieee754/dbl-64/s_nextup.c: Likewise.
	* sysdeps/ieee754/ldbl-128/s_nextupl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_nextupl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/s_nextupl.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls):
	Add nextup and nextdown.
	(CFLAGS-nldbl-nextup.c): New variable.
	(CFLAGS-nldbl-nextdown.c): Likewise.
	* sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c: New file.
	* sysdeps/ieee754/ldbl-opt/nldbl-nextup.c: Likewise.
	* 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/libmvec.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
---
 NEWS                                               |   7 ++
 manual/arith.texi                                  |  40 +++++++
 manual/libm-err-tab.pl                             |   6 +-
 math/Makefile                                      |   2 +-
 math/Versions                                      |   4 +
 math/bits/mathcalls.h                              |   7 ++
 math/libm-test.inc                                 | 127 ++++++++++++++++++++-
 math/s_nextdown.c                                  |  33 ++++++
 math/s_nextdownf.c                                 |  29 +++++
 math/s_nextdownl.c                                 |  29 +++++
 math/test-tgmath.c                                 |  22 +++-
 math/tgmath.h                                      |   7 ++
 sysdeps/ieee754/dbl-64/s_nextup.c                  |  58 ++++++++++
 sysdeps/ieee754/flt-32/s_nextupf.c                 |  46 ++++++++
 sysdeps/ieee754/ldbl-128/s_nextupl.c               |  56 +++++++++
 sysdeps/ieee754/ldbl-128ibm/s_nextupl.c            |  78 +++++++++++++
 sysdeps/ieee754/ldbl-96/s_nextupl.c                |  84 ++++++++++++++
 sysdeps/ieee754/ldbl-opt/Makefile                  |   5 +-
 sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c          |  27 +++++
 sysdeps/ieee754/ldbl-opt/nldbl-nextup.c            |  27 +++++
 sysdeps/nacl/libm.abilist                          |   7 ++
 sysdeps/unix/sysv/linux/aarch64/libm.abilist       |   7 ++
 sysdeps/unix/sysv/linux/alpha/libm.abilist         |   7 ++
 sysdeps/unix/sysv/linux/arm/libm.abilist           |   7 ++
 sysdeps/unix/sysv/linux/hppa/libm.abilist          |   7 ++
 sysdeps/unix/sysv/linux/i386/libm.abilist          |   7 ++
 sysdeps/unix/sysv/linux/ia64/libm.abilist          |   7 ++
 sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist |   7 ++
 sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist   |   7 ++
 sysdeps/unix/sysv/linux/microblaze/libm.abilist    |   7 ++
 sysdeps/unix/sysv/linux/mips/mips32/libm.abilist   |   7 ++
 sysdeps/unix/sysv/linux/mips/mips64/libm.abilist   |   7 ++
 sysdeps/unix/sysv/linux/nios2/libm.abilist         |   7 ++
 .../sysv/linux/powerpc/powerpc32/fpu/libm.abilist  |   7 ++
 .../linux/powerpc/powerpc32/nofpu/libm.abilist     |   7 ++
 .../sysv/linux/powerpc/powerpc64/libm-le.abilist   |   7 ++
 .../unix/sysv/linux/powerpc/powerpc64/libm.abilist |   7 ++
 sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist  |   7 ++
 sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist  |   7 ++
 sysdeps/unix/sysv/linux/sh/libm.abilist            |   7 ++
 sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist |   7 ++
 sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist |   7 ++
 .../sysv/linux/tile/tilegx/tilegx32/libm.abilist   |   7 ++
 .../sysv/linux/tile/tilegx/tilegx64/libm.abilist   |   7 ++
 sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist  |   7 ++
 sysdeps/unix/sysv/linux/x86_64/64/libm.abilist     |   7 ++
 sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist    |   7 ++
 47 files changed, 872 insertions(+), 11 deletions(-)
 create mode 100644 math/s_nextdown.c
 create mode 100644 math/s_nextdownf.c
 create mode 100644 math/s_nextdownl.c
 create mode 100644 sysdeps/ieee754/dbl-64/s_nextup.c
 create mode 100644 sysdeps/ieee754/flt-32/s_nextupf.c
 create mode 100644 sysdeps/ieee754/ldbl-128/s_nextupl.c
 create mode 100644 sysdeps/ieee754/ldbl-128ibm/s_nextupl.c
 create mode 100644 sysdeps/ieee754/ldbl-96/s_nextupl.c
 create mode 100644 sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c
 create mode 100644 sysdeps/ieee754/ldbl-opt/nldbl-nextup.c

diff --git a/NEWS b/NEWS
index 9b5d9fe..e2737d5 100644
--- a/NEWS
+++ b/NEWS
@@ -40,6 +40,13 @@ Version 2.24
   done anything in over 16 years.  Scripts using this option can safely
   drop it.
 
+* nextupl, nextup, nextupf, nextdownl, nextdown and nextdownf are added to
+  libm.  They are defined by TS 18661 and IEEE754-2008.  The nextup functions
+  return the next representable value in the direction of positive infinity
+  and the nextdown functions return the next representable value in the
+  direction of negative infinity.  These are currently enabled as GNU
+  extensions.
+
 Security related changes:
 
 * An unnecessary stack copy in _nss_dns_getnetbyname_r was removed.  It
diff --git a/manual/arith.texi b/manual/arith.texi
index 72682f0..f54b1ec 100644
--- a/manual/arith.texi
+++ b/manual/arith.texi
@@ -1702,6 +1702,46 @@ These functions are identical to the corresponding versions of
 double}.
 @end deftypefun
 
+@comment math.h
+@comment GNU
+@deftypefun double nextup (double @var{x})
+@comment math.h
+@comment GNU
+@deftypefunx float nextupf (float @var{x})
+@comment math.h
+@comment GNU
+@deftypefunx {long double} nextupl (long double @var{x})
+@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
+The @code{nextup} function returns the next representable neighbor of @var{x}
+in the direction of positive infinity.  If @var{x} is the smallest negative
+subnormal number in the type of @var{x} the function returns @code{-0}.  If
+@math{@var{x} = @code{0}} the function returns the smallest positive subnormal
+number in the type of @var{x}.  If @var{x} is NaN, NaN is returned.
+If @var{x} is @math{+@infinity{}}, @math{+@infinity{}} is returned.
+@code{nextup} is based on TS 18661 and currently enabled as a GNU extension.
+@code{nextup} never raises an exception except for signaling NaNs.
+@end deftypefun
+
+@comment math.h
+@comment GNU
+@deftypefun double nextdown (double @var{x})
+@comment math.h
+@comment GNU
+@deftypefunx float nextdownf (float @var{x})
+@comment math.h
+@comment GNU
+@deftypefunx {long double} nextdownl (long double @var{x})
+@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
+The @code{nextdown} function returns the next representable neighbor of @var{x}
+in the direction of negative infinity.  If @var{x} is the smallest positive
+subnormal number in the type of @var{x} the function returns @code{+0}.  If
+@math{@var{x} = @code{0}} the function returns the smallest negative subnormal
+number in the type of @var{x}.  If @var{x} is NaN, NaN is returned.
+If @var{x} is @math{-@infinity{}}, @math{-@infinity{}} is returned.
+@code{nextdown} is based on TS 18661 and currently enabled as a GNU extension.
+@code{nextdown} never raises an exception except for signaling NaNs.
+@end deftypefun
+
 @cindex NaN
 @comment math.h
 @comment ISO
diff --git a/manual/libm-err-tab.pl b/manual/libm-err-tab.pl
index 3846afc..c2792c5 100755
--- a/manual/libm-err-tab.pl
+++ b/manual/libm-err-tab.pl
@@ -73,9 +73,9 @@ use vars qw (%results @all_floats %suffices @all_functions);
     "fmax", "fmin", "fmod", "frexp", "gamma", "hypot",
     "ilogb", "j0", "j1", "jn", "lgamma", "lrint",
     "llrint", "log", "log10", "log1p", "log2", "logb", "lround",
-    "llround", "modf", "nearbyint", "nextafter", "nexttoward", "pow",
-    "remainder", "remquo", "rint", "round", "scalb", "scalbn", "scalbln",
-    "sin", "sincos", "sinh", "sqrt", "tan", "tanh", "tgamma",
+    "llround", "modf", "nearbyint", "nextafter", "nextdown", "nexttoward",
+    "nextup", "pow", "remainder", "remquo", "rint", "round", "scalb",
+    "scalbn", "sin", "sincos", "sinh", "sqrt", "tan", "tanh", "tgamma",
     "trunc", "y0", "y1", "yn" );
 # fpclassify, isnormal, isfinite, isinf, isnan, issignaling, signbit,
 # isgreater, isgreaterequal, isless, islessequal, islessgreater, isunordered
diff --git a/math/Makefile b/math/Makefile
index 6cd3cf1..4f14181 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -63,7 +63,7 @@ libm-calls = e_acos e_acosh e_asin e_atan2 e_atanh e_cosh e_exp e_fmod	\
 	     s_fma s_lrint s_llrint s_lround s_llround e_exp10 w_log2	\
 	     s_issignaling $(calls:s_%=m_%) x2y2m1 k_casinh	\
 	     gamma_product k_standard lgamma_neg lgamma_product		\
-	     w_lgamma_compat
+	     w_lgamma_compat s_nextup s_nextdown
 
 dbl-only-routines := branred doasin dosincos halfulp mpa mpatan2	\
 		     mpatan mpexp mplog mpsqrt mptan sincos32 slowexp	\
diff --git a/math/Versions b/math/Versions
index e6a597c..467d7ed 100644
--- a/math/Versions
+++ b/math/Versions
@@ -210,4 +210,8 @@ libm {
     # dynamic symbol for signgam but not __signgam.
     lgamma; lgammaf; lgammal; __signgam;
   }
+  GLIBC_2.24 {
+    nextup; nextupf; nextupl;
+    nextdown; nextdownf; nextdownl;
+  }
 }
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index 9a7b3f0..e2cf49f 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -294,6 +294,13 @@ __MATHCALLX (nextafter,, (_Mdouble_ __x, _Mdouble_ __y), (__const__));
 __MATHCALLX (nexttoward,, (_Mdouble_ __x, long double __y), (__const__));
 # endif
 
+#ifdef __USE_GNU
+/* Return X - epsilon.  */
+__MATHCALL (nextdown,, (_Mdouble_ __x));
+/* Return X + epsilon.  */
+__MATHCALL (nextup,, (_Mdouble_ __x));
+# endif
+
 /* Return the remainder of integer divison X / Y with infinite precision.  */
 __MATHCALL (remainder,, (_Mdouble_ __x, _Mdouble_ __y));
 
diff --git a/math/libm-test.inc b/math/libm-test.inc
index d6cad66..17d65b4 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -10177,11 +10177,28 @@ static const struct test_ff_f_data nextafter_test_data[] =
     TEST_ff_f (nextafter, -0x0.fffffffep-16382L, 0.0L, -0x0.fffffffdfffffffep-16382L, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION|ERRNO_ERANGE),
 #endif
 
-#if MANT_DIG >= 64
-    // XXX Enable once gcc is fixed.
-    //TEST_ff_f (nextafter, 0x0.00000040000000000000p-16385L, -0.1L, 0x0.0000003ffffffff00000p-16385L),
+#if TEST_COND_binary32
+    TEST_ff_f (nextafter, 1.0, 2.0, 0x1.000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, 1.0, 0.9, 0x0.ffffffp0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0, -2.0, -0x1.000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0, 2.0, -0x0.ffffffp0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_binary64
+    TEST_ff_f (nextafter, 1.0, 2.0, 0x1.0000000000001p+0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, 1.0, 0.9, 0x1.fffffffffffffp-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0, -2.0, -0x1.0000000000001p+0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0, 2.0, -0x1.fffffffffffffp-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96 || TEST_COND_intel96
+    TEST_ff_f (nextafter, 1.0L, 2.0L, 0x8.0000000000000010p-3L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, 1.0L, -2.0L, 0xf.fffffffffffffff0p-4L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0L, -2.0L, -0x8.0000000000000010p-3L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0L, 2.0L, -0xf.fffffffffffffff0p-4L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96
+    TEST_ff_f (nextafter, -0x0.fffffffep-16383L, 0.0L, -0x0.fffffffdfffffffep-16383L, INEXACT_EXCEPTION|UNDERFLOW_EXCEPTION|ERRNO_ERANGE),
 #endif
-#if MANT_DIG == 106
+#if TEST_COND_ibm128
     TEST_ff_f (nextafter, 1.0L, -10.0L, 1.0L-0x1p-106L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
     TEST_ff_f (nextafter, 1.0L, 10.0L, 1.0L+0x1p-105L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
     TEST_ff_f (nextafter, 1.0L-0x1p-106L, 10.0L, 1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
@@ -10189,6 +10206,12 @@ static const struct test_ff_f_data nextafter_test_data[] =
     TEST_ff_f (nextafter, -1.0L, 10.0L, -1.0L+0x1p-106L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
     TEST_ff_f (nextafter, -1.0L+0x1p-106L, -10.0L, -1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
 #endif
+#if TEST_COND_binary128
+    TEST_ff_f (nextafter, 1.0L, 10.0L, 0x1.0000000000000000000000000001p0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, 1.0L, -10.0L, 0x1.ffffffffffffffffffffffffffffp-1L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0L, 10.0L, -0x1.ffffffffffffffffffffffffffffp-1L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_f (nextafter, -1.0L, -10.0L, -0x1.0000000000000000000000000001p+0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
 
     /* XXX We need the hexadecimal FP number representation here for further
        tests.  */
@@ -10199,6 +10222,100 @@ nextafter_test (void)
 {
   ALL_RM_TEST (nextafter, 1, nextafter_test_data, RUN_TEST_LOOP_ff_f, END);
 }
+static const struct test_f_f_data nextup_test_data[] =
+  {
+    TEST_f_f (nextup, minus_zero, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, 0, min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -min_subnorm_value, minus_zero, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, max_value, plus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, plus_infty, plus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, minus_infty, -max_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+    TEST_f_f (nextup, -snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+#if TEST_COND_binary32
+    TEST_f_f (nextup, 1.0, 0x1.000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0, -0x0.ffffffp0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_binary64
+    TEST_f_f (nextup, 1.0, 0x1.0000000000001p+0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0, -0x1.fffffffffffffp-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96 || TEST_COND_intel96
+    TEST_f_f (nextup, 1.0L, 0x8.0000000000000010p-3L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0L, -0xf.fffffffffffffff0p-4L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, 0xf.fffffffffffffff0p-4L, 1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_intel96
+    TEST_f_f (nextup, -0x0.fffffffep-16382L, -0x0.fffffffdfffffffep-16382L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96
+    TEST_f_f (nextup, -0x0.fffffffep-16383L, -0x0.fffffffdfffffffep-16383L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_ibm128
+    TEST_f_f (nextup, 1.0L, 1.0L+0x1p-105L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0L-0x1p-105L, -1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0L, -1.0L+0x1p-106L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_binary128
+    TEST_f_f (nextup, 1.0L, 0x1.0000000000000000000000000001p0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextup, -1.0L, -0x1.ffffffffffffffffffffffffffffp-1L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+  };
+
+static void
+nextup_test (void)
+{
+  ALL_RM_TEST (nextup, 1, nextup_test_data, RUN_TEST_LOOP_f_f, END);
+}
+static const struct test_f_f_data nextdown_test_data[] =
+  {
+    TEST_f_f (nextdown, minus_zero, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, 0, -min_subnorm_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, min_subnorm_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, -max_value, minus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, plus_infty, max_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, minus_infty, minus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, -qnan_value, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+    TEST_f_f (nextdown, -snan_value, qnan_value, NO_INEXACT_EXCEPTION|INVALID_EXCEPTION),
+#if TEST_COND_binary32
+    TEST_f_f (nextdown, 1.0, 0x0.ffffffp0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, -1.0, -0x1.000002p0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_binary64
+    TEST_f_f (nextdown, 1.0, 0x1.fffffffffffffp-1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, -1.0, -0x1.0000000000001p+0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96 || TEST_COND_intel96
+    TEST_f_f (nextdown, -1.0L, -0x8.0000000000000010p-3L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, 1.0L, 0xf.fffffffffffffff0p-4L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, 0x8.0000000000000010p-3L, 1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_intel96
+    TEST_f_f (nextdown, -0x0.fffffffdfffffffep-16382L, -0x0.fffffffep-16382L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_m68k96
+    TEST_f_f (nextdown, -0x0.fffffffdfffffffep-16383L, -0x0.fffffffep-16383L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_ibm128
+    TEST_f_f (nextdown, -1.0L, -1.0L-0x1p-105L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, 1.0L+0x1p-105L, 1.0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, 1.0L, 1.0L-0x1p-106L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if TEST_COND_binary128
+    TEST_f_f (nextdown, 1.0L, 0x1.ffffffffffffffffffffffffffffp-1L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_f_f (nextdown, -1.0L, -0x1.0000000000000000000000000001p+0L, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+  };
+
+static void
+nextdown_test (void)
+{
+  ALL_RM_TEST (nextdown, 1, nextdown_test_data, RUN_TEST_LOOP_f_f, END);
+}
 
 
 /* Note, the second argument is always typed as long double.  The j type
@@ -12335,6 +12452,8 @@ main (int argc, char **argv)
 
   /* Manipulation functions:  */
   copysign_test ();
+  nextup_test();
+  nextdown_test();
   nextafter_test ();
   nexttoward_test ();
 
diff --git a/math/s_nextdown.c b/math/s_nextdown.c
new file mode 100644
index 0000000..06fd1c9
--- /dev/null
+++ b/math/s_nextdown.c
@@ -0,0 +1,33 @@
+/* Return the greatest floating-point number less than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the greatest floating-point number less than X.  */
+double
+__nextdown (double x)
+{
+  return -__nextup (-x);
+}
+
+weak_alias (__nextdown, nextdown)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__nextdown, __nextdownl)
+weak_alias (__nextdown, nextdownl)
+#endif
diff --git a/math/s_nextdownf.c b/math/s_nextdownf.c
new file mode 100644
index 0000000..c0d4585
--- /dev/null
+++ b/math/s_nextdownf.c
@@ -0,0 +1,29 @@
+/* Return the greatest floating-point number less than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the greatest floating-point number less than X.  */
+float
+__nextdownf (float x)
+{
+  return -__nextupf (-x);
+}
+
+weak_alias (__nextdownf, nextdownf)
diff --git a/math/s_nextdownl.c b/math/s_nextdownl.c
new file mode 100644
index 0000000..e7607f5
--- /dev/null
+++ b/math/s_nextdownl.c
@@ -0,0 +1,29 @@
+/* Return the greatest floating-point number less than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the greatest floating-point number less than X.  */
+long double
+__nextdownl (long double x)
+{
+  return -__nextupl (-x);
+}
+
+weak_alias (__nextdownl, nextdownl)
diff --git a/math/test-tgmath.c b/math/test-tgmath.c
index 0e978d1..70ab428 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     115
+#define NCALLS     119
 #define NCALLS_INT 4
 #define NCCALLS    47
 
@@ -274,7 +274,9 @@ F(compile_test) (void)
   b = lgamma (lgamma (a));
   a = rint (rint (x));
   b = nextafter (nextafter (a, b), nextafter (c, x));
-  a = nexttoward (nexttoward (x, a), c);
+  a = nextdown (nextdown (a));
+  b = nexttoward (nexttoward (x, a), c);
+  a = nextup (nextup (a));
   b = remainder (remainder (a, b), remainder (c, x));
   a = scalb (scalb (x, a), (TYPE) (6));
   k = scalbn (a, 7) + scalbln (c, 10l);
@@ -777,6 +779,14 @@ TYPE
 }
 
 TYPE
+(F(nextdown)) (TYPE x)
+{
+  ++count;
+  P ();
+  return x;
+}
+
+TYPE
 (F(nexttoward)) (TYPE x, long double y)
 {
   ++count;
@@ -785,6 +795,14 @@ TYPE
 }
 
 TYPE
+(F(nextup)) (TYPE x)
+{
+  ++count;
+  P ();
+  return x;
+}
+
+TYPE
 (F(remainder)) (TYPE x, TYPE y)
 {
   ++count;
diff --git a/math/tgmath.h b/math/tgmath.h
index ea2b611..8916fbe 100644
--- a/math/tgmath.h
+++ b/math/tgmath.h
@@ -392,6 +392,13 @@
    prevailing rounding mode.  */
 #define rint(Val) __TGMATH_UNARY_REAL_ONLY (Val, rint)
 
+#ifdef __USE_GNU
+/* Return X - epsilon.  */
+# define nextdown(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextdown)
+/* Return X + epsilon.  */
+# define nextup(Val) __TGMATH_UNARY_REAL_ONLY (Val, nextup)
+#endif
+
 /* Return X + epsilon if X < Y, X - epsilon if X > Y.  */
 #define nextafter(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, nextafter)
 #define nexttoward(Val1, Val2) \
diff --git a/sysdeps/ieee754/dbl-64/s_nextup.c b/sysdeps/ieee754/dbl-64/s_nextup.c
new file mode 100644
index 0000000..d2432b5
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_nextup.c
@@ -0,0 +1,58 @@
+/* Return the least floating-point number greater than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the least floating-point number greater than X.  */
+double
+__nextup (double x)
+{
+  int32_t hx, ix;
+  u_int32_t lx;
+
+  EXTRACT_WORDS (hx, lx, x);
+  ix = hx & 0x7fffffff;
+
+  if (((ix >= 0x7ff00000) && ((ix - 0x7ff00000) | lx) != 0))  /* x is nan.  */
+    return x + x;
+  if ((ix | lx) == 0)
+    return DBL_TRUE_MIN;
+  if (hx >= 0)
+    {				/* x > 0.  */
+      if (isinf (x))
+        return x;
+      lx += 1;
+      if (lx == 0)
+        hx += 1;
+    }
+  else
+    {				/* x < 0.  */
+      if (lx == 0)
+        hx -= 1;
+      lx -= 1;
+    }
+  INSERT_WORDS (x, hx, lx);
+  return x;
+}
+
+weak_alias (__nextup, nextup)
+#ifdef NO_LONG_DOUBLE
+strong_alias (__nextup, __nextupl)
+weak_alias (__nextup, nextupl)
+#endif
diff --git a/sysdeps/ieee754/flt-32/s_nextupf.c b/sysdeps/ieee754/flt-32/s_nextupf.c
new file mode 100644
index 0000000..9f3398e
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_nextupf.c
@@ -0,0 +1,46 @@
+/* Return the least floating-point number greater than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the least floating-point number greater than X.  */
+float
+__nextupf (float x)
+{
+  int32_t hx, ix;
+
+  GET_FLOAT_WORD (hx, x);
+  ix = hx & 0x7fffffff;
+  if (ix == 0)
+    return FLT_TRUE_MIN;
+  if (ix > 0x7f800000)		/* x is nan.  */
+    return x + x;
+  if (hx >= 0)
+    {				/* x > 0.  */
+      if (isinf (x))
+        return x;
+      hx += 1;
+    }
+  else
+    hx -= 1;
+  SET_FLOAT_WORD (x, hx);
+  return x;
+}
+
+weak_alias (__nextupf, nextupf)
diff --git a/sysdeps/ieee754/ldbl-128/s_nextupl.c b/sysdeps/ieee754/ldbl-128/s_nextupl.c
new file mode 100644
index 0000000..3ee47d8
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_nextupl.c
@@ -0,0 +1,56 @@
+/* Return the least floating-point number greater than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the least floating-point number greater than X.  */
+long double
+__nextupl (long double x)
+{
+  int64_t hx, ix;
+  u_int64_t lx;
+
+  GET_LDOUBLE_WORDS64 (hx, lx, x);
+  ix = hx & 0x7fffffffffffffffLL;
+
+  /* x is nan.  */
+  if (((ix >= 0x7fff000000000000LL)
+       && ((ix - 0x7fff000000000000LL) | lx) != 0))
+    return x + x;
+  if ((ix | lx) == 0)
+    return LDBL_TRUE_MIN;
+  if (hx >= 0)
+    {				/* x > 0.  */
+      if (isinf (x))
+        return x;
+      lx++;
+      if (lx == 0)
+        hx++;
+    }
+  else
+    {				/* x < 0.  */
+      if (lx == 0)
+        hx--;
+      lx--;
+    }
+  SET_LDOUBLE_WORDS64 (x, hx, lx);
+  return x;
+}
+
+weak_alias (__nextupl, nextupl)
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_nextupl.c b/sysdeps/ieee754/ldbl-128ibm/s_nextupl.c
new file mode 100644
index 0000000..2a4fae7
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/s_nextupl.c
@@ -0,0 +1,78 @@
+/* Return the least floating-point number greater than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+#include <math_ldbl_opt.h>
+
+/* Return the least floating-point number greater than X.  */
+long double
+__nextupl (long double x)
+{
+  int64_t hx, ihx, lx;
+  double xhi, xlo, yhi;
+
+  ldbl_unpack (x, &xhi, &xlo);
+  EXTRACT_WORDS64 (hx, xhi);
+  EXTRACT_WORDS64 (lx, xlo);
+  ihx = hx & 0x7fffffffffffffffLL;
+
+  if (ihx > 0x7ff0000000000000LL)	/* x is nan.  */
+    return x + x;		/* Signal the nan.  */
+  if (ihx == 0)
+    return LDBL_TRUE_MIN;
+
+  long double u;
+  if ((hx == 0x7fefffffffffffffLL) && (lx == 0x7c8ffffffffffffeLL))
+    return INFINITY;
+  if ((uint64_t) hx >= 0xfff0000000000000ULL)
+    {
+      u = -0x1.fffffffffffff7ffffffffffff8p+1023L;
+      return u;
+    }
+  if (ihx <= 0x0360000000000000LL)
+    {				/* x <= LDBL_MIN.  */
+      x += LDBL_TRUE_MIN;
+      if (x == 0.0L)		/* Handle negative LDBL_TRUE_MIN case.  */
+        x = -0.0L;
+      return x;
+    }
+  /* If the high double is an exact power of two and the low
+     double is the opposite sign, then 1ulp is one less than
+     what we might determine from the high double.  Similarly
+     if X is an exact power of two, and negative, because
+     making it a little larger will result in the exponent
+     decreasing by one and normalisation of the mantissa.   */
+  if ((hx & 0x000fffffffffffffLL) == 0
+      && ((lx != 0 && lx != 0x8000000000000000LL && (hx ^ lx) < 0)
+          || ((lx == 0 || lx == 0x8000000000000000LL) && hx < 0)))
+    ihx -= 1LL << 52;
+  if (ihx < (106LL << 52))
+    {				/* ulp will denormal.  */
+      INSERT_WORDS64 (yhi, ihx & (0x7ffLL << 52));
+      u = yhi * 0x1p-105;
+    }
+  else
+    {
+      INSERT_WORDS64 (yhi, (ihx & (0x7ffLL << 52)) - (105LL << 52));
+      u = yhi;
+    }
+  return x + u;
+}
+
+weak_alias (__nextupl, nextupl)
diff --git a/sysdeps/ieee754/ldbl-96/s_nextupl.c b/sysdeps/ieee754/ldbl-96/s_nextupl.c
new file mode 100644
index 0000000..701842d
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_nextupl.c
@@ -0,0 +1,84 @@
+/* Return the least floating-point number greater than X.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <math.h>
+#include <math_private.h>
+
+/* Return the least floating-point number greater than X.  */
+long double
+__nextupl (long double x)
+{
+  u_int32_t hx, ix;
+  u_int32_t lx;
+  int32_t esx;
+
+  GET_LDOUBLE_WORDS (esx, hx, lx, x);
+  ix = esx & 0x7fff;
+
+  if (((ix == 0x7fff) && (((hx & 0x7fffffff) | lx) != 0)))  /* x is nan.  */
+    return x + x;
+  if ((ix | hx | lx) == 0)
+    return LDBL_TRUE_MIN;
+  if (esx >= 0)
+    {				/* x > 0.  */
+      if (isinf (x))
+        return x;
+      lx += 1;
+      if (lx == 0)
+        {
+          hx += 1;
+#if LDBL_MIN_EXP == -16381
+          if (hx == 0 || (esx == 0 && hx == 0x80000000))
+#else
+          if (hx == 0)
+#endif
+          {
+            esx += 1;
+            hx |= 0x80000000;
+          }
+        }
+    }
+  else
+    {				/* x < 0.  */
+      if (lx == 0)
+        {
+#if LDBL_MIN_EXP == -16381
+          if (hx <= 0x80000000 && esx != 0xffff8000)
+            {
+              esx -= 1;
+              hx = hx - 1;
+              if ((esx & 0x7fff) > 0)
+                hx |= 0x80000000;
+            }
+          else
+            hx -= 1;
+#else
+          if (ix != 0 && hx == 0x80000000)
+            hx = 0;
+          if (hx == 0)
+            esx -= 1;
+          hx -= 1;
+#endif
+        }
+      lx -= 1;
+    }
+  SET_LDOUBLE_WORDS (x, esx, hx, lx);
+  return x;
+}
+
+weak_alias (__nextupl, nextupl)
diff --git a/sysdeps/ieee754/ldbl-opt/Makefile b/sysdeps/ieee754/ldbl-opt/Makefile
index 53091e4..af08209 100644
--- a/sysdeps/ieee754/ldbl-opt/Makefile
+++ b/sysdeps/ieee754/ldbl-opt/Makefile
@@ -40,7 +40,8 @@ libnldbl-calls = asprintf dprintf fprintf fscanf fwprintf fwscanf iovfscanf \
 		 isoc99_scanf isoc99_fscanf isoc99_sscanf \
 		 isoc99_vscanf isoc99_vfscanf isoc99_vsscanf \
 		 isoc99_wscanf isoc99_fwscanf isoc99_swscanf \
-		 isoc99_vwscanf isoc99_vfwscanf isoc99_vswscanf
+		 isoc99_vwscanf isoc99_vfwscanf isoc99_vswscanf \
+		 nextup nextdown
 libnldbl-routines = $(libnldbl-calls:%=nldbl-%)
 libnldbl-inhibit-o = $(object-suffixes)
 libnldbl-static-only-routines = $(libnldbl-routines)
@@ -120,8 +121,10 @@ CFLAGS-nldbl-modf.c = -fno-builtin-modfl
 CFLAGS-nldbl-nan.c = -fno-builtin-nanl
 CFLAGS-nldbl-nearbyint.c = -fno-builtin-nearbyintl
 CFLAGS-nldbl-nextafter.c = -fno-builtin-nextafterl
+CFLAGS-nldbl-nextdown.c = -fno-builtin-nextdownl
 CFLAGS-nldbl-nexttoward.c = -fno-builtin-nexttoward -fno-builtin-nexttowardl
 CFLAGS-nldbl-nexttowardf.c = -fno-builtin-nexttowardf
+CFLAGS-nldbl-nextup.c = -fno-builtin-nextupl
 CFLAGS-nldbl-pow.c = -fno-builtin-powl
 CFLAGS-nldbl-pow10.c = -fno-builtin-pow10l
 CFLAGS-nldbl-remainder.c = -fno-builtin-remainderl -fno-builtin-dreml
diff --git a/sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c b/sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c
new file mode 100644
index 0000000..3b0047c
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c
@@ -0,0 +1,27 @@
+/* Compatibility routine for IEEE double as long double for nextdown.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "nldbl-compat.h"
+
+/* Return the greatest floating-point number less than X.  */
+double
+attribute_hidden
+nextdownl (double x)
+{
+  return nextdown (x);
+}
diff --git a/sysdeps/ieee754/ldbl-opt/nldbl-nextup.c b/sysdeps/ieee754/ldbl-opt/nldbl-nextup.c
new file mode 100644
index 0000000..b557edf
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-opt/nldbl-nextup.c
@@ -0,0 +1,27 @@
+/* Compatibility routine for IEEE double as long double for nextup.
+   Copyright (C) 2016 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "nldbl-compat.h"
+
+/* Return the least floating-point number greater than X.  */
+double
+attribute_hidden
+nextupl (double x)
+{
+  return nextup (x);
+}
diff --git a/sysdeps/nacl/libm.abilist b/sysdeps/nacl/libm.abilist
index 055b0b2..838fede 100644
--- a/sysdeps/nacl/libm.abilist
+++ b/sysdeps/nacl/libm.abilist
@@ -372,3 +372,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
index 2123113..781d2d3 100644
--- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
@@ -403,3 +403,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist
index 611dfe1..f342c6b 100644
--- a/sysdeps/unix/sysv/linux/alpha/libm.abilist
+++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist
@@ -413,6 +413,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.3.4 GLIBC_2.3.4 A
 GLIBC_2.3.4 __c1_cabsf F
 GLIBC_2.3.4 __c1_cacosf F
diff --git a/sysdeps/unix/sysv/linux/arm/libm.abilist b/sysdeps/unix/sysv/linux/arm/libm.abilist
index e65e230..7a02fb1 100644
--- a/sysdeps/unix/sysv/linux/arm/libm.abilist
+++ b/sysdeps/unix/sysv/linux/arm/libm.abilist
@@ -61,6 +61,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 _LIB_VERSION D 0x4
 GLIBC_2.4 __clog10 F
diff --git a/sysdeps/unix/sysv/linux/hppa/libm.abilist b/sysdeps/unix/sysv/linux/hppa/libm.abilist
index 9b7f40a..bf40ddf 100644
--- a/sysdeps/unix/sysv/linux/hppa/libm.abilist
+++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist
@@ -373,5 +373,12 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/i386/libm.abilist b/sysdeps/unix/sysv/linux/i386/libm.abilist
index 78b542e..92e9402 100644
--- a/sysdeps/unix/sysv/linux/i386/libm.abilist
+++ b/sysdeps/unix/sysv/linux/i386/libm.abilist
@@ -415,4 +415,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/ia64/libm.abilist b/sysdeps/unix/sysv/linux/ia64/libm.abilist
index 6d4cc72..e2737a2 100644
--- a/sysdeps/unix/sysv/linux/ia64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/ia64/libm.abilist
@@ -344,4 +344,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
index e65e230..7a02fb1 100644
--- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
@@ -61,6 +61,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 _LIB_VERSION D 0x4
 GLIBC_2.4 __clog10 F
diff --git a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
index 2d31935..9af59d7 100644
--- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
@@ -413,4 +413,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/microblaze/libm.abilist b/sysdeps/unix/sysv/linux/microblaze/libm.abilist
index 149fd4f..0b1f136 100644
--- a/sysdeps/unix/sysv/linux/microblaze/libm.abilist
+++ b/sysdeps/unix/sysv/linux/microblaze/libm.abilist
@@ -372,3 +372,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
index e599e82..2e2bb00 100644
--- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
@@ -374,6 +374,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 exp2l F
 _gp_disp _gp_disp A
diff --git a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
index 164ba55..7daa595 100644
--- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
@@ -405,4 +405,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/nios2/libm.abilist b/sysdeps/unix/sysv/linux/nios2/libm.abilist
index ad02eff..a36e2f3 100644
--- a/sysdeps/unix/sysv/linux/nios2/libm.abilist
+++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist
@@ -372,3 +372,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
index 5d2f263..abe8c5d 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
@@ -414,6 +414,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 __clog10l F
 GLIBC_2.4 __finitel F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist
index 8b5edb5..1c25f56 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist
@@ -413,6 +413,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 __clog10l F
 GLIBC_2.4 __finitel F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist
index ee06683..9d19474 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist
@@ -408,3 +408,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
index 6c7fc9b..cedb189 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
@@ -89,6 +89,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.3 GLIBC_2.3 A
 GLIBC_2.3 _LIB_VERSION D 0x4
 GLIBC_2.3 __clog10 F
diff --git a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
index 039ed5c..9b567c6 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
@@ -403,6 +403,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 __clog10l F
 GLIBC_2.4 __finitel F
diff --git a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
index 66c625d..78a82fb 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
@@ -401,6 +401,13 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 __clog10l F
 GLIBC_2.4 __finitel F
diff --git a/sysdeps/unix/sysv/linux/sh/libm.abilist b/sysdeps/unix/sysv/linux/sh/libm.abilist
index 93b8471..f98ade7 100644
--- a/sysdeps/unix/sysv/linux/sh/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sh/libm.abilist
@@ -373,5 +373,12 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 exp2l F
diff --git a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
index 185ab09..d2e8421 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
@@ -406,6 +406,13 @@ GLIBC_2.23 __sqrtl_finite F
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
 GLIBC_2.4 __clog10l F
 GLIBC_2.4 __finitel F
diff --git a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
index b56add3..e000221 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
@@ -404,4 +404,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist
index 18b8d00..00e82c1 100644
--- a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist
@@ -373,3 +373,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
index 18b8d00..00e82c1 100644
--- a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
@@ -373,3 +373,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist b/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
index 18b8d00..00e82c1 100644
--- a/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
@@ -373,3 +373,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
index b911aff..65b4708 100644
--- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
@@ -404,4 +404,11 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
 GLIBC_2.4 GLIBC_2.4 A
diff --git a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
index 168c0d8..d35e9f0 100644
--- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
@@ -403,3 +403,10 @@ GLIBC_2.23 __signgam D 0x4
 GLIBC_2.23 lgamma F
 GLIBC_2.23 lgammaf F
 GLIBC_2.23 lgammal F
+GLIBC_2.24 GLIBC_2.24 A
+GLIBC_2.24 nextdown F
+GLIBC_2.24 nextdownf F
+GLIBC_2.24 nextdownl F
+GLIBC_2.24 nextup F
+GLIBC_2.24 nextupf F
+GLIBC_2.24 nextupl F
-- 
1.8.3.1


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