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-rw-r--r--ChangeLog64
-rw-r--r--NEWS7
-rw-r--r--manual/arith.texi40
-rwxr-xr-xmanual/libm-err-tab.pl6
-rw-r--r--math/Makefile2
-rw-r--r--math/Versions4
-rw-r--r--math/bits/mathcalls.h7
-rw-r--r--math/libm-test.inc127
-rw-r--r--math/s_nextdown.c33
-rw-r--r--math/s_nextdownf.c29
-rw-r--r--math/s_nextdownl.c29
-rw-r--r--math/test-tgmath.c22
-rw-r--r--math/tgmath.h7
-rw-r--r--sysdeps/ieee754/dbl-64/s_nextup.c58
-rw-r--r--sysdeps/ieee754/flt-32/s_nextupf.c46
-rw-r--r--sysdeps/ieee754/ldbl-128/s_nextupl.c56
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_nextupl.c78
-rw-r--r--sysdeps/ieee754/ldbl-96/s_nextupl.c84
-rw-r--r--sysdeps/ieee754/ldbl-opt/Makefile5
-rw-r--r--sysdeps/ieee754/ldbl-opt/nldbl-nextdown.c27
-rw-r--r--sysdeps/ieee754/ldbl-opt/nldbl-nextup.c27
-rw-r--r--sysdeps/nacl/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/aarch64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/alpha/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/arm/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/hppa/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/i386/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/ia64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/microblaze/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/mips/mips32/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/mips/mips64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/nios2/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/sh/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/x86_64/64/libm.abilist7
-rw-r--r--sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist7
48 files changed, 936 insertions, 11 deletions
diff --git a/ChangeLog b/ChangeLog
index 86a079c1ca..e72ffb8430 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,67 @@
+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.
+
 2016-06-16  Rical Jasan  <ricaljasan@pacific.net>
 
 	* manual/pattern.texi: Fix typos & grammar errors.
diff --git a/NEWS b/NEWS
index 9b5d9fe8e0..e2737d5f47 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 72682f0c99..f54b1ec7df 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 3846afcb2a..c2792c50d8 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 6cd3cf1f65..4f141812ba 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 e6a597cf23..467d7ed3b5 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 9a7b3f0f18..e2cf49f627 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 d6cad6634c..17d65b40fd 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 0000000000..06fd1c9b12
--- /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 0000000000..c0d4585b7f
--- /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 0000000000..e7607f5ad0
--- /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 0e978d17c4..70ab42881a 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 ea2b611f15..8916fbe39c 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 0000000000..d2432b550b
--- /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 0000000000..9f3398e02e
--- /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 0000000000..3ee47d8090
--- /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 0000000000..2a4fae7e2e
--- /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 0000000000..701842d3e1
--- /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 53091e410c..af08209570 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 0000000000..3b0047c09d
--- /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 0000000000..b557edffe3
--- /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 055b0b25ba..838fedeacf 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 2123113e25..781d2d3571 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 611dfe1aa5..f342c6b1da 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 e65e2309cd..7a02fb1726 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 9b7f40a4c9..bf40ddf929 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 78b542e935..92e94022c7 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 6d4cc72e0e..e2737a2ba9 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 e65e2309cd..7a02fb1726 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 2d31935916..9af59d7d90 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 149fd4f2be..0b1f1360e0 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 e599e82d6e..2e2bb00738 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 164ba55263..7daa595282 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 ad02eff997..a36e2f32fc 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 5d2f263645..abe8c5d8a8 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 8b5edb52a0..1c25f56c4c 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 ee066837af..9d19474c34 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 6c7fc9b4fc..cedb18945c 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 039ed5c521..9b567c6356 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 66c625daeb..78a82fbd71 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 93b84713d8..f98ade7642 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 185ab0917a..d2e8421967 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 b56add357b..e000221432 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 18b8d00bec..00e82c1425 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 18b8d00bec..00e82c1425 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 18b8d00bec..00e82c1425 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 b911aff114..65b470817c 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 168c0d87cf..d35e9f0207 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