Add totalorder, totalorderf, totalorderl.

TS 18661-1 defines totalorder functions implementing the totalOrder
comparison operation from IEEE 754-2008.  This patch implements these
functions for glibc, including the type-generic macro in <tgmath.h>.
(The totalordermag functions will be added in a separate patch.)

The description of the totalOrder operation is complicated.  However,
for IEEE interchange binary formats and the preferred quiet NaN
convention, what that complicated description means is that you
interpret the representation as a sign-magnitude integer (with -0
coming before +0) and do a <= comparison on that interpretation.  For
finite values and infinities the ordering of the sign-magnitude
integers is just the same as the ordering of floating-point values, so
this extends that to all representations.  (Different representations
of the same floating-point value - which includes same quantum in the
decimal case - must still be considered equal by this operation, but
that issue doesn't arise for IEEE interchange binary formats.)  So the
complications are:

* When MIPS quiet NaN conventions are in use, the representation of
  NaNs needs adjusting before making such an integer comparison.  This
  patch does this adjustment only when both arguments are NaNs, as
  there's no need for it if only one is a NaN, and as long as both are
  NaNs you can just flip the relevant bits without any problems from
  this turning a NaN into an infinity.

* For the m68k version of ldbl-96, where the high mantissa bit is
  "don't care" for infinities and NaNs, representations where it
  differs must compare the same.  Note: although the testcase for this
  compiles, I have not actually tested on m68k.

* For ldbl-128ibm, the low part must be ignored when the high part is
  NaN, and low parts of +0 and -0 must be considered the same whatever
  the high part.

The new tests in libm-test.inc are the first tests there specifying
particular payloads for input NaNs.  Separate tests are also added for
the ldbl-96 and ldbl-128ibm special cases where there are different
representations of the same value that must compare equal (which can't
be covered in libm-test.inc as that only specifies values, not
representations).

Tested for x86_64, x86, mips64 and powerpc.

	* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
	(totalorder): New declaration.
	* math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalorder):
	New macro.
	* math/Versions (totalorder): New libm symbol at version
	GLIBC_2.25.
	(totalorderf): Likewise.
	(totalorderl): Likewise.
	* math/Makefile (libm-calls): Add s_totalorderF.
	* math/gen-libm-test.pl (parse_args): Escape quotes in test name
	string.
	* math/libm-test.inc (PAYLOAD_DIG): New macro.
	(qnan_value_pl): Likewise.
	(snan_value_pl): Likewise.
	(qnan_value): Define using qnan_value_pl.
	(snan_value): Define using snan_value_pl.
	(struct test_ff_i_data): Add comment about which tests use this
	structure.
	(RUN_TEST_ff_b): New macro.
	(RUN_TEST_LOOP_ff_b): Likewise.
	(totalorder_test_data): New array.
	(totalorder_test): New function.
	(main): Call totalorder_test.
	* math/test-tgmath.c (NCALLS): Increase to 122.
	(F(compile_test)): Call totalorder.
	(F(totalorder)): New function.
	* manual/arith.texi (FP Comparison Functions): Document
	totalorder, totalorderf and totalorderl.
	* manual/libm-err-tab.pl: Update comment on interfaces without
	ulps tabulated.
	* sysdeps/ieee754/dbl-64/s_totalorder.c: New file.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c: Likewise.
	* sysdeps/ieee754/flt-32/s_totalorderf.c: Likewise.
	* sysdeps/ieee754/ldbl-128/s_totalorderl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/s_totalorderl.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
	totalorder.
	(CFLAGS-nldbl-totalorder.c): New variable.
	* sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c: New
	file.
	* sysdeps/ieee754/ldbl-128ibm/Makefile [$(subdir) = math] (tests):
	Add test-totalorderl-ldbl-128ibm.
	* sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c: New file.
	* sysdeps/ieee754/ldbl-96/Makefile [$(subdir) = math] (tests): Add
	test-totalorderl-ldbl-96.
	* sysdeps/nacl/libm.abilist: Update.
	* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.

50 files changed, 958 insertions, 11 deletions

diff --git a/ChangeLog b/ChangeLog
index e87cd68a13..d129219fd1 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,86 @@
+2016-10-12  Joseph Myers  <joseph@codesourcery.com>
+
+	* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
+	(totalorder): New declaration.
+	* math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalorder):
+	New macro.
+	* math/Versions (totalorder): New libm symbol at version
+	GLIBC_2.25.
+	(totalorderf): Likewise.
+	(totalorderl): Likewise.
+	* math/Makefile (libm-calls): Add s_totalorderF.
+	* math/gen-libm-test.pl (parse_args): Escape quotes in test name
+	string.
+	* math/libm-test.inc (PAYLOAD_DIG): New macro.
+	(qnan_value_pl): Likewise.
+	(snan_value_pl): Likewise.
+	(qnan_value): Define using qnan_value_pl.
+	(snan_value): Define using snan_value_pl.
+	(struct test_ff_i_data): Add comment about which tests use this
+	structure.
+	(RUN_TEST_ff_b): New macro.
+	(RUN_TEST_LOOP_ff_b): Likewise.
+	(totalorder_test_data): New array.
+	(totalorder_test): New function.
+	(main): Call totalorder_test.
+	* math/test-tgmath.c (NCALLS): Increase to 122.
+	(F(compile_test)): Call totalorder.
+	(F(totalorder)): New function.
+	* manual/arith.texi (FP Comparison Functions): Document
+	totalorder, totalorderf and totalorderl.
+	* manual/libm-err-tab.pl: Update comment on interfaces without
+	ulps tabulated.
+	* sysdeps/ieee754/dbl-64/s_totalorder.c: New file.
+	* sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c: Likewise.
+	* sysdeps/ieee754/flt-32/s_totalorderf.c: Likewise.
+	* sysdeps/ieee754/ldbl-128/s_totalorderl.c: Likewise.
+	* sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c: Likewise.
+	* sysdeps/ieee754/ldbl-96/s_totalorderl.c: Likewise.
+	* sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c: Likewise.
+	* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
+	totalorder.
+	(CFLAGS-nldbl-totalorder.c): New variable.
+	* sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c: New
+	file.
+	* sysdeps/ieee754/ldbl-128ibm/Makefile [$(subdir) = math] (tests):
+	Add test-totalorderl-ldbl-128ibm.
+	* sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c: New file.
+	* sysdeps/ieee754/ldbl-96/Makefile [$(subdir) = math] (tests): Add
+	test-totalorderl-ldbl-96.
+	* sysdeps/nacl/libm.abilist: Update.
+	* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
+	Likewise.
+	* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
+	* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.
+
 2016-10-11  Adhemerval Zanella  <adhemerval.zanella@linaro.org>
 
 	* sysdeps/unix/sysv/linux/Makefile (tests): Add tst-sync_file_range.
diff --git a/NEWS b/NEWS
index 3b46fb10c6..22a5a5afd4 100644
--- a/NEWS
+++ b/NEWS
@@ -55,6 +55,8 @@ Version 2.25
 
   - Classification macros: iscanonical, issubnormal, iszero.
 
+  - Total order functions: totalorder, totalorderf, totalorderl.
+
 * The <sys/quota.h> header now includes the <linux/quota.h> header.  Support
   for the Linux quota interface which predates kernel version 2.4.22 has
   been removed.
diff --git a/manual/arith.texi b/manual/arith.texi
index 5fb18f3561..75d34c8427 100644
--- a/manual/arith.texi
+++ b/manual/arith.texi
@@ -1874,7 +1874,10 @@ do not raise exceptions when NaN is examined.  All of the functions are
 implemented as macros which allow their arguments to be of any
 floating-point type.  The macros are guaranteed to evaluate their
 arguments only once.  TS 18661-1:2014 adds such a macro for an
-equality comparison that @emph{does} raise an exception for a NaN argument.
+equality comparison that @emph{does} raise an exception for a NaN
+argument; it also adds functions that provide a total ordering on all
+floating-point values, including NaNs, without raising any exceptions
+even for signaling NaNs.
 
 @comment math.h
 @comment ISO
@@ -1943,6 +1946,28 @@ exception and sets @code{errno} to @code{EDOM} is either argument is a
 NaN.
 @end deftypefn
 
+@comment math.h
+@comment ISO
+@deftypefun int totalorder (double @var{x}, double @var{y})
+@comment ISO
+@deftypefunx int totalorderf (float @var{x}, float @var{y})
+@comment ISO
+@deftypefunx int totalorderl (long double @var{x}, long double @var{y})
+@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
+These functions determine whether the total order relationship,
+defined in IEEE 754-2008, is true for @var{x} and @var{y}, returning
+nonzero if it is true and zero if it is false.  No exceptions are
+raised even for signaling NaNs.  The relationship is true if they are
+the same floating-point value (including sign for zero and NaNs, and
+payload for NaNs), or if @var{x} comes before @var{y} in the following
+order: negative quiet NaNs, in order of decreasing payload; negative
+signaling NaNs, in order of decreasing payload; negative infinity;
+finite numbers, in ascending order, with negative zero before positive
+zero; positive infinity; positive signaling NaNs, in order of
+increasing payload; positive quiet NaNs, in order of increasing
+payload.
+@end deftypefun
+
 Not all machines provide hardware support for these operations.  On
 machines that don't, the macros can be very slow.  Therefore, you should
 not use these functions when NaN is not a concern.
diff --git a/manual/libm-err-tab.pl b/manual/libm-err-tab.pl
index 451547871b..9989605e5b 100755
--- a/manual/libm-err-tab.pl
+++ b/manual/libm-err-tab.pl
@@ -79,7 +79,7 @@ use vars qw (%results @all_floats %suffices @all_functions);
     "trunc", "y0", "y1", "yn" );
 # fpclassify, iscanonical, isnormal, isfinite, isinf, isnan, issignaling,
 # issubnormal, iszero, signbit, iseqsig, isgreater, isgreaterequal, isless,
-# islessequal, islessgreater, isunordered are not tabulated.
+# islessequal, islessgreater, isunordered, totalorder are not tabulated.
 
 if ($#ARGV == 0) {
   $sources = $ARGV[0];
diff --git a/math/Makefile b/math/Makefile
index ca07f9d1fd..ffaeb7c958 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -72,7 +72,7 @@ libm-calls =								  \
 	s_fmaF s_lrintF s_llrintF s_lroundF s_llroundF e_exp10F w_log2F	  \
 	s_issignalingF $(calls:s_%=m_%) x2y2m1F				  \
 	gamma_productF lgamma_negF lgamma_productF			  \
-	s_nextupF $(gen-libm-calls)
+	s_nextupF s_totalorderF $(gen-libm-calls)
 
 libm-compat-calls-ldouble-yes = w_lgamma_compatl k_standardl
 libm-compat-calls = w_lgamma_compatf w_lgamma_compat k_standard k_standardf \
diff --git a/math/Versions b/math/Versions
index e658a1037c..29246de94a 100644
--- a/math/Versions
+++ b/math/Versions
@@ -217,5 +217,6 @@ libm {
   GLIBC_2.25 {
     fesetexcept; fetestexceptflag; fegetmode; fesetmode;
     __iscanonicall; __iseqsigf; __iseqsig; __iseqsigl;
+    totalorder; totalorderf; totalorderl;
   }
 }
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index 4fc18659f8..c800c2d27d 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -386,6 +386,10 @@ __MATHDECL_1 (int, __iseqsig,, (_Mdouble_ __x, _Mdouble_ __y));
 /* Test for signaling NaN.  */
 __MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value))
      __attribute__ ((__const__));
+
+/* Total order operation.  */
+__MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))
+     __attribute__ ((__const__));
 #endif
 
 #if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
diff --git a/math/gen-libm-test.pl b/math/gen-libm-test.pl
index 577964c3c6..4d02873c6f 100755
--- a/math/gen-libm-test.pl
+++ b/math/gen-libm-test.pl
@@ -280,6 +280,7 @@ sub parse_args {
   # Put the C program line together
   # Reset some variables to start again
   $current_arg = 1;
+  $call_args =~ s/\"/\\\"/g;
   $cline = "{ \"$call_args\"";
   @descr = split //,$descr_args;
   for ($i=0; $i <= $#descr; $i++) {
diff --git a/math/libm-test.inc b/math/libm-test.inc
index 4573482f65..c8d2702aeb 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -53,7 +53,8 @@
    modf, nearbyint, nextafter, nexttoward,
    pow, pow10, remainder, remquo, rint, lrint, llrint,
    round, lround, llround,
-   scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt, tan, tanh, tgamma, trunc,
+   scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt,
+   tan, tanh, tgamma, totalorder, trunc,
    y0, y1, yn, significand
 
    and for the following complex math functions:
@@ -84,7 +85,8 @@
    against.  These implemented tests should check all cases that are
    specified in ISO C99.
 
-   NaN values: The payload of NaNs is not examined.
+   NaN values: The payload of NaNs is not examined, but is set in
+   inputs for functions where it is significant.
 
    Inline functions: Inlining functions should give an improvement in
    speed - but not in precission.  The inlined functions return
@@ -224,6 +226,13 @@
 			  && MIN_EXP == -16382	\
 			  && MAX_EXP == 16384)
 
+/* Number of bits in NaN payload.  */
+#if TEST_COND_ibm128
+# define PAYLOAD_DIG (DBL_MANT_DIG - 2)
+#else
+# define PAYLOAD_DIG (MANT_DIG - 2)
+#endif
+
 /* Values underflowing only for float.  */
 #if TEST_COND_binary32
 # define UNDERFLOW_EXCEPTION_FLOAT	UNDERFLOW_EXCEPTION
@@ -312,8 +321,10 @@ static int ignore_max_ulp;	/* Should we ignore max_ulp?  */
 #define minus_zero	LIT (-0.0)
 #define plus_infty	FUNC (__builtin_inf) ()
 #define minus_infty	-(FUNC (__builtin_inf) ())
-#define qnan_value	FUNC (__builtin_nan) ("")
-#define snan_value	FUNC (__builtin_nans) ("")
+#define qnan_value_pl(S)	FUNC (__builtin_nan) (S)
+#define qnan_value	qnan_value_pl ("")
+#define snan_value_pl(S)	FUNC (__builtin_nans) (S)
+#define snan_value	snan_value_pl ("")
 #define max_value	TYPE_MAX
 #define min_value	TYPE_MIN
 #define min_subnorm_value TYPE_TRUE_MIN
@@ -1220,6 +1231,7 @@ struct test_f_i_data
     int exceptions;
   } rd, rn, rz, ru;
 };
+/* Used for both RUN_TEST_LOOP_ff_b and RUN_TEST_LOOP_ff_i_tg.  */
 struct test_ff_i_data
 {
   const char *arg_str;
@@ -1596,6 +1608,25 @@ struct test_fFF_11_data
 		       (ARRAY)[i].RM_##ROUNDING_MODE.expected,		\
 		       (ARRAY)[i].RM_##ROUNDING_MODE.exceptions);	\
   ROUND_RESTORE_ ## ROUNDING_MODE
+#define RUN_TEST_ff_b(ARG_STR, FUNC_NAME, ARG1, ARG2, EXPECTED,		\
+		      EXCEPTIONS)					\
+  do									\
+    if (enable_test (EXCEPTIONS))					\
+      {									\
+	COMMON_TEST_SETUP (ARG_STR);					\
+	check_bool (test_name, FUNC_TEST (FUNC_NAME) (ARG1, ARG2),	\
+		    EXPECTED, EXCEPTIONS);				\
+	COMMON_TEST_CLEANUP;						\
+      }									\
+  while (0)
+#define RUN_TEST_LOOP_ff_b(FUNC_NAME, ARRAY, ROUNDING_MODE)		\
+  IF_ROUND_INIT_ ## ROUNDING_MODE					\
+    for (size_t i = 0; i < sizeof (ARRAY) / sizeof (ARRAY)[0]; i++)	\
+      RUN_TEST_ff_b ((ARRAY)[i].arg_str, FUNC_NAME,			\
+		     (ARRAY)[i].arg1, (ARRAY)[i].arg2,			\
+		     (ARRAY)[i].RM_##ROUNDING_MODE.expected,		\
+		     (ARRAY)[i].RM_##ROUNDING_MODE.exceptions);		\
+  ROUND_RESTORE_ ## ROUNDING_MODE
 #define RUN_TEST_ff_i_tg(ARG_STR, FUNC_NAME, ARG1, ARG2, EXPECTED,	\
 			 EXCEPTIONS)					\
   do									\
@@ -12238,6 +12269,226 @@ tgamma_test (void)
 }
 
 
+static const struct test_ff_i_data totalorder_test_data[] =
+  {
+    TEST_ff_b (totalorder, minus_zero, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, 1, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_infty, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_infty, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, -qnan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, -min_subnorm_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, minus_zero, min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, -min_subnorm_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, plus_zero, min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -min_subnorm_value, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -min_subnorm_value, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, min_subnorm_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, min_subnorm_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, min_value, max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, min_value, -max_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -min_value, max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -min_value, -max_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, max_value, min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, max_value, -min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -max_value, min_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -max_value, -min_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), -qnan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x2"), -qnan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x2"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), -snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), -snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x2"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if PAYLOAD_DIG >= 34
+    TEST_ff_b (totalorder, qnan_value_pl ("0xffffffff"), qnan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0xffffffff"), -qnan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x100000000"), qnan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x100000000"), -qnan_value_pl ("0xffffffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0xffffffff"), snan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0xffffffff"), -snan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x100000000"), snan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x100000000"), -snan_value_pl ("0xffffffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x100000000"), qnan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x100000000"), -qnan_value_pl ("0x200000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x200000000"), qnan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x200000000"), -qnan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x100000000"), snan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x100000000"), -snan_value_pl ("0x200000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x200000000"), snan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x200000000"), -snan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if PAYLOAD_DIG >= 66
+    TEST_ff_b (totalorder, qnan_value_pl ("0xffffffffffffffff"), qnan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0xffffffffffffffff"), -qnan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x10000000000000000"), qnan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x10000000000000000"), -qnan_value_pl ("0xffffffffffffffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0xffffffffffffffff"), snan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0xffffffffffffffff"), -snan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x10000000000000000"), snan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x10000000000000000"), -snan_value_pl ("0xffffffffffffffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x10000000000000000"), qnan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x10000000000000000"), -qnan_value_pl ("0x20000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, qnan_value_pl ("0x20000000000000000"), qnan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -qnan_value_pl ("0x20000000000000000"), -qnan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x10000000000000000"), snan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x10000000000000000"), -snan_value_pl ("0x20000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, snan_value_pl ("0x20000000000000000"), snan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalorder, -snan_value_pl ("0x20000000000000000"), -snan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+  };
+
+static void
+totalorder_test (void)
+{
+  ALL_RM_TEST (totalorder, 1, totalorder_test_data, RUN_TEST_LOOP_ff_b, END);
+}
+
+
 static const struct test_f_f_data trunc_test_data[] =
   {
     TEST_f_f (trunc, plus_infty, plus_infty, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
@@ -12900,6 +13151,9 @@ main (int argc, char **argv)
   islessgreater_test ();
   isunordered_test ();
 
+  /* Total order functions:  */
+  totalorder_test ();
+
   /* Complex functions:  */
   cabs_test ();
   cacos_test ();
diff --git a/math/test-tgmath.c b/math/test-tgmath.c
index 70ab42881a..a24058c9bd 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     119
+#define NCALLS     122
 #define NCALLS_INT 4
 #define NCCALLS    47
 
@@ -285,6 +285,7 @@ F(compile_test) (void)
   b = fmax (fmax (a, x), fmax (c, b));
   a = fmin (fmin (x, a), fmin (c, b));
   b = fma (sin (a), sin (x), sin (c));
+  a = totalorder (totalorder (x, b), totalorder (c, x));
 
 #ifdef TEST_INT
   a = atan2 (i, b);
@@ -381,6 +382,7 @@ F(compile_test) (void)
       a = fmax (y, y);
       a = fmin (y, y);
       a = fma (y, y, y);
+      a = totalorder (y, y);
 
 #ifdef TEST_INT
       a = atan2 (i, y);
@@ -874,6 +876,14 @@ TYPE
   return x + y + z;
 }
 
+int
+(F(totalorder)) (TYPE x, TYPE y)
+{
+  ++count;
+  P ();
+  return x + y;
+}
+
 complex TYPE
 (F(cacos)) (complex TYPE x)
 {
diff --git a/math/tgmath.h b/math/tgmath.h
index de1eb985fe..267e2921d5 100644
--- a/math/tgmath.h
+++ b/math/tgmath.h
@@ -437,6 +437,12 @@
 #define fma(Val1, Val2, Val3) \
      __TGMATH_TERNARY_REAL_ONLY (Val1, Val2, Val3, fma)
 
+#if __GLIBC_USE (IEC_60559_BFP_EXT)
+/* Total order operation.  */
+# define totalorder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2,	\
+							   totalorder)
+#endif
+
 
 /* Absolute value, conjugates, and projection.  */
 
diff --git a/sysdeps/ieee754/dbl-64/s_totalorder.c b/sysdeps/ieee754/dbl-64/s_totalorder.c
new file mode 100644
index 0000000000..73ac32f78b
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/s_totalorder.c
@@ -0,0 +1,53 @@
+/* Total order operation.  dbl-64 version.
+   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 <stdint.h>
+
+int
+totalorder (double x, double y)
+{
+  int32_t hx, hy;
+  uint32_t lx, ly;
+  EXTRACT_WORDS (hx, lx, x);
+  EXTRACT_WORDS (hy, ly, y);
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+  uint32_t uhx = hx & 0x7fffffff, uhy = hy & 0x7fffffff;
+  /* For the preferred quiet NaN convention, this operation is a
+     comparison of the representations of the arguments interpreted as
+     sign-magnitude integers.  If both arguments are NaNs, invert the
+     quiet/signaling bit so comparing that way works.  */
+  if ((uhx > 0x7ff00000 || (uhx == 0x7ff00000 && lx != 0))
+      && (uhy > 0x7ff00000 || (uhy == 0x7ff00000 && ly != 0)))
+    {
+      hx ^= 0x00080000;
+      hy ^= 0x00080000;
+    }
+#endif
+  uint32_t hx_sign = hx >> 31;
+  uint32_t hy_sign = hy >> 31;
+  hx ^= hx_sign >> 1;
+  lx ^= hx_sign;
+  hy ^= hy_sign >> 1;
+  ly ^= hy_sign;
+  return hx < hy || (hx == hy && lx <= ly);
+}
+#ifdef NO_LONG_DOUBLE
+weak_alias (totalorder, totalorderl)
+#endif
diff --git a/sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c b/sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c
new file mode 100644
index 0000000000..02cd799cf6
--- /dev/null
+++ b/sysdeps/ieee754/dbl-64/wordsize-64/s_totalorder.c
@@ -0,0 +1,49 @@
+/* Total order operation.  dbl-64/wordsize-64 version.
+   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 <stdint.h>
+
+int
+totalorder (double x, double y)
+{
+  int64_t ix, iy;
+  EXTRACT_WORDS64 (ix, x);
+  EXTRACT_WORDS64 (iy, y);
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+  /* For the preferred quiet NaN convention, this operation is a
+     comparison of the representations of the arguments interpreted as
+     sign-magnitude integers.  If both arguments are NaNs, invert the
+     quiet/signaling bit so comparing that way works.  */
+  if ((ix & 0x7fffffffffffffffULL) > 0x7ff0000000000000ULL
+      && (iy & 0x7fffffffffffffffULL) > 0x7ff0000000000000ULL)
+    {
+      ix ^= 0x0008000000000000ULL;
+      iy ^= 0x0008000000000000ULL;
+    }
+#endif
+  uint64_t ix_sign = ix >> 63;
+  uint64_t iy_sign = iy >> 63;
+  ix ^= ix_sign >> 1;
+  iy ^= iy_sign >> 1;
+  return ix <= iy;
+}
+#ifdef NO_LONG_DOUBLE
+weak_alias (totalorder, totalorderl)
+#endif
diff --git a/sysdeps/ieee754/flt-32/s_totalorderf.c b/sysdeps/ieee754/flt-32/s_totalorderf.c
new file mode 100644
index 0000000000..1ed30d8116
--- /dev/null
+++ b/sysdeps/ieee754/flt-32/s_totalorderf.c
@@ -0,0 +1,45 @@
+/* Total order operation.  flt-32 version.
+   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 <stdint.h>
+
+int
+totalorderf (float x, float y)
+{
+  int32_t ix, iy;
+  GET_FLOAT_WORD (ix, x);
+  GET_FLOAT_WORD (iy, y);
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+  /* For the preferred quiet NaN convention, this operation is a
+     comparison of the representations of the arguments interpreted as
+     sign-magnitude integers.  If both arguments are NaNs, invert the
+     quiet/signaling bit so comparing that way works.  */
+  if ((ix & 0x7fffffff) > 0x7f800000 && (iy & 0x7fffffff) > 0x7f800000)
+    {
+      ix ^= 0x00400000;
+      iy ^= 0x00400000;
+    }
+#endif
+  uint32_t ix_sign = ix >> 31;
+  uint32_t iy_sign = iy >> 31;
+  ix ^= ix_sign >> 1;
+  iy ^= iy_sign >> 1;
+  return ix <= iy;
+}
diff --git a/sysdeps/ieee754/ldbl-128/s_totalorderl.c b/sysdeps/ieee754/ldbl-128/s_totalorderl.c
new file mode 100644
index 0000000000..dc76ccf204
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128/s_totalorderl.c
@@ -0,0 +1,53 @@
+/* Total order operation.  ldbl-128 version.
+   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 <stdint.h>
+
+int
+totalorderl (_Float128 x, _Float128 y)
+{
+  int64_t hx, hy;
+  uint64_t lx, ly;
+  GET_LDOUBLE_WORDS64 (hx, lx, x);
+  GET_LDOUBLE_WORDS64 (hy, ly, y);
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+  uint64_t uhx = hx & 0x7fffffffffffffffULL;
+  uint64_t uhy = hy & 0x7fffffffffffffffULL;
+  /* For the preferred quiet NaN convention, this operation is a
+     comparison of the representations of the arguments interpreted as
+     sign-magnitude integers.  If both arguments are NaNs, invert the
+     quiet/signaling bit so comparing that way works.  */
+  if ((uhx > 0x7fff000000000000ULL || (uhx == 0x7fff000000000000ULL
+				       && lx != 0))
+      && (uhy > 0x7fff000000000000ULL || (uhy == 0x7fff000000000000ULL
+					  && ly != 0)))
+    {
+      hx ^= 0x0000800000000000ULL;
+      hy ^= 0x0000800000000000ULL;
+    }
+#endif
+  uint64_t hx_sign = hx >> 63;
+  uint64_t hy_sign = hy >> 63;
+  hx ^= hx_sign >> 1;
+  lx ^= hx_sign;
+  hy ^= hy_sign >> 1;
+  ly ^= hy_sign;
+  return hx < hy || (hx == hy && lx <= ly);
+}
diff --git a/sysdeps/ieee754/ldbl-128ibm/Makefile b/sysdeps/ieee754/ldbl-128ibm/Makefile
index 56bebf8391..eb625a7234 100644
--- a/sysdeps/ieee754/ldbl-128ibm/Makefile
+++ b/sysdeps/ieee754/ldbl-128ibm/Makefile
@@ -11,5 +11,6 @@ endif
 
 ifeq ($(subdir),math)
 tests += test-fmodl-ldbl-128ibm test-remainderl-ldbl-128ibm \
-	 test-remquol-ldbl-128ibm test-iscanonical-ldbl-128ibm
+	 test-remquol-ldbl-128ibm test-iscanonical-ldbl-128ibm \
+	 test-totalorderl-ldbl-128ibm
 endif
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c b/sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c
new file mode 100644
index 0000000000..1535b2fb1e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/s_totalorderl.c
@@ -0,0 +1,61 @@
+/* Total order operation.  ldbl-128ibm version.
+   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 <stdint.h>
+
+int
+totalorderl (long double x, long double y)
+{
+  double xhi, xlo, yhi, ylo;
+  int64_t hx, hy, lx, ly;
+
+  ldbl_unpack (x, &xhi, &xlo);
+  EXTRACT_WORDS64 (hx, xhi);
+  ldbl_unpack (y, &yhi, &ylo);
+  EXTRACT_WORDS64 (hy, yhi);
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+# error not implemented
+#endif
+  uint64_t hx_sign = hx >> 63;
+  uint64_t hy_sign = hy >> 63;
+  int64_t hx_adj = hx ^ (hx_sign >> 1);
+  int64_t hy_adj = hy ^ (hy_sign >> 1);
+  if (hx_adj < hy_adj)
+    return 1;
+  else if (hx_adj > hy_adj)
+    return 0;
+
+  /* The high doubles are identical.  If they are NaNs or both the low
+     parts are zero, the low parts are not significant (and if they
+     are infinities, both the low parts must be zero).  */
+  if ((hx & 0x7fffffffffffffffULL) >= 0x7ff0000000000000ULL)
+    return 1;
+  EXTRACT_WORDS64 (lx, xlo);
+  EXTRACT_WORDS64 (ly, ylo);
+  if (((lx | ly) & 0x7fffffffffffffffULL) == 0)
+    return 1;
+
+  /* Otherwise compare the low parts.  */
+  uint64_t lx_sign = lx >> 63;
+  uint64_t ly_sign = ly >> 63;
+  lx ^= lx_sign >> 1;
+  ly ^= ly_sign >> 1;
+  return lx <= ly;
+}
diff --git a/sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c b/sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c
new file mode 100644
index 0000000000..78b162c4fc
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c
@@ -0,0 +1,64 @@
+/* Test totalorderl for ldbl-128ibm.
+   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 <stdbool.h>
+#include <stdio.h>
+
+struct test
+{
+  double hi, lo1, lo2;
+};
+
+static const struct test tests[] =
+  {
+    { __builtin_nan (""), 1, __builtin_nans ("") },
+    { -__builtin_nan (""), 1, __builtin_nans ("") },
+    { __builtin_nans (""), 1, __builtin_nan ("") },
+    { -__builtin_nans (""), 1, __builtin_nan ("") },
+    { __builtin_inf (), 0.0, -0.0 },
+    { -__builtin_inf (), 0.0, -0.0 },
+    { 1.5, 0.0, -0.0 },
+  };
+
+static int
+do_test (void)
+{
+  int result = 0;
+
+  for (size_t i = 0; i < sizeof (tests) / sizeof (tests[0]); i++)
+    {
+      long double ldx = ldbl_pack (tests[i].hi, tests[i].lo1);
+      long double ldy = ldbl_pack (tests[i].hi, tests[i].lo2);
+      bool to1 = totalorderl (ldx, ldy);
+      bool to2 = totalorderl (ldy, ldx);
+      if (to1 && to2)
+	printf ("PASS: test %zu\n", i);
+      else
+	{
+	  printf ("FAIL: test %zu\n", i);
+	  result = 1;
+	}
+    }
+
+  return result;
+}
+
+#define TEST_FUNCTION do_test ()
+#include "../test-skeleton.c"
diff --git a/sysdeps/ieee754/ldbl-96/Makefile b/sysdeps/ieee754/ldbl-96/Makefile
index bf9676e907..931976d7b1 100644
--- a/sysdeps/ieee754/ldbl-96/Makefile
+++ b/sysdeps/ieee754/ldbl-96/Makefile
@@ -17,5 +17,5 @@
 # <http://www.gnu.org/licenses/>.
 
 ifeq ($(subdir),math)
-tests += test-iscanonical-ldbl-96
+tests += test-iscanonical-ldbl-96 test-totalorderl-ldbl-96
 endif
diff --git a/sysdeps/ieee754/ldbl-96/s_totalorderl.c b/sysdeps/ieee754/ldbl-96/s_totalorderl.c
new file mode 100644
index 0000000000..4f14bafb44
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/s_totalorderl.c
@@ -0,0 +1,56 @@
+/* Total order operation.  ldbl-96 version.
+   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 <float.h>
+#include <math.h>
+#include <math_private.h>
+#include <stdint.h>
+
+int
+totalorderl (long double x, long double y)
+{
+  int16_t expx, expy;
+  uint32_t hx, hy;
+  uint32_t lx, ly;
+  GET_LDOUBLE_WORDS (expx, hx, lx, x);
+  GET_LDOUBLE_WORDS (expy, hy, ly, y);
+  if (LDBL_MIN_EXP == -16382)
+    {
+      /* M68K variant: for the greatest exponent, the high mantissa
+	 bit is not significant and both values of it are valid, so
+	 set it before comparing.  For the Intel variant, only one
+	 value of the high mantissa bit is valid for each exponent, so
+	 this is not necessary.  */
+      if ((expx & 0x7fff) == 0x7fff)
+	hx |= 0x80000000;
+      if ((expy & 0x7fff) == 0x7fff)
+	hy |= 0x80000000;
+    }
+#ifdef HIGH_ORDER_BIT_IS_SET_FOR_SNAN
+# error not implemented
+#endif
+  uint32_t x_sign = expx >> 15;
+  uint32_t y_sign = expy >> 15;
+  expx ^= x_sign >> 17;
+  hx ^= x_sign;
+  lx ^= x_sign;
+  expy ^= y_sign >> 17;
+  hy ^= y_sign;
+  ly ^= y_sign;
+  return expx < expy || (expx == expy && (hx < hy || (hx == hy && lx <= ly)));
+}
diff --git a/sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c b/sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c
new file mode 100644
index 0000000000..07fa772414
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c
@@ -0,0 +1,71 @@
+/* Test totalorderl for ldbl-96.
+   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 <float.h>
+#include <math.h>
+#include <math_private.h>
+#include <stdbool.h>
+#include <stdint.h>
+#include <stdio.h>
+
+static const uint64_t tests[] =
+  {
+    0, 1, 0x4000000000000000ULL, 0x4000000000000001ULL,
+    0x7fffffffffffffffULL
+  };
+
+static int
+do_test (void)
+{
+  int result = 0;
+
+  if (LDBL_MIN_EXP == -16382)
+    for (size_t i = 0; i < sizeof (tests) / sizeof (tests[0]); i++)
+      {
+	long double ldx, ldy, ldnx, ldny;
+	/* Verify that the high bit of the mantissa is ignored for
+	   infinities and NaNs for the M68K variant of this
+	   format.  */
+	SET_LDOUBLE_WORDS (ldx, 0x7fff,
+			   tests[i] >> 32, tests[i] & 0xffffffffULL);
+	SET_LDOUBLE_WORDS (ldy, 0x7fff,
+			   (tests[i] >> 32) | 0x80000000,
+			   tests[i] & 0xffffffffULL);
+	SET_LDOUBLE_WORDS (ldnx, 0xffff,
+			   tests[i] >> 32, tests[i] & 0xffffffffULL);
+	SET_LDOUBLE_WORDS (ldny, 0xffff,
+			   (tests[i] >> 32) | 0x80000000,
+			   tests[i] & 0xffffffffULL);
+	bool to1 = totalorderl (ldx, ldy);
+	bool to2 = totalorderl (ldy, ldx);
+	bool to3 = totalorderl (ldnx, ldny);
+	bool to4 = totalorderl (ldny, ldnx);
+	if (to1 && to2 && to3 && to4)
+	  printf ("PASS: test %zu\n", i);
+	else
+	  {
+	    printf ("FAIL: test %zu\n", i);
+	    result = 1;
+	  }
+      }
+
+  return result;
+}
+
+#define TEST_FUNCTION do_test ()
+#include "../test-skeleton.c"
diff --git a/sysdeps/ieee754/ldbl-opt/Makefile b/sysdeps/ieee754/ldbl-opt/Makefile
index af08209570..12255d6951 100644
--- a/sysdeps/ieee754/ldbl-opt/Makefile
+++ b/sysdeps/ieee754/ldbl-opt/Makefile
@@ -41,7 +41,7 @@ libnldbl-calls = asprintf dprintf fprintf fscanf fwprintf fwscanf iovfscanf \
 		 isoc99_vscanf isoc99_vfscanf isoc99_vsscanf \
 		 isoc99_wscanf isoc99_fwscanf isoc99_swscanf \
 		 isoc99_vwscanf isoc99_vfwscanf isoc99_vswscanf \
-		 nextup nextdown
+		 nextup nextdown totalorder
 libnldbl-routines = $(libnldbl-calls:%=nldbl-%)
 libnldbl-inhibit-o = $(object-suffixes)
 libnldbl-static-only-routines = $(libnldbl-routines)
@@ -142,6 +142,7 @@ CFLAGS-nldbl-sqrt.c = -fno-builtin-sqrtl
 CFLAGS-nldbl-tan.c = -fno-builtin-tanl
 CFLAGS-nldbl-tanh.c = -fno-builtin-tanhl
 CFLAGS-nldbl-tgamma.c = -fno-builtin-tgammal
+CFLAGS-nldbl-totalorder.c = -fno-builtin-totalorderl
 CFLAGS-nldbl-trunc.c = -fno-builtin-truncl
 CFLAGS-nldbl-y0.c = -fno-builtin-y0l
 CFLAGS-nldbl-y1.c = -fno-builtin-y1l
diff --git a/sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c b/sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c
new file mode 100644
index 0000000000..0be5a6d07e
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-opt/nldbl-totalorder.c
@@ -0,0 +1,26 @@
+/* Compatibility routine for IEEE double as long double for totalorder.
+   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"
+
+double
+attribute_hidden
+totalorderl (double x, double y)
+{
+  return totalorder (x, y);
+}
diff --git a/sysdeps/nacl/libm.abilist b/sysdeps/nacl/libm.abilist
index cdc65c3069..8f01f60887 100644
--- a/sysdeps/nacl/libm.abilist
+++ b/sysdeps/nacl/libm.abilist
@@ -386,3 +386,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/aarch64/libm.abilist b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
index 1ec00012c8..32a464ac50 100644
--- a/sysdeps/unix/sysv/linux/aarch64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/aarch64/libm.abilist
@@ -418,3 +418,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/alpha/libm.abilist b/sysdeps/unix/sysv/linux/alpha/libm.abilist
index 1edbb96e87..3c7ed06bf4 100644
--- a/sysdeps/unix/sysv/linux/alpha/libm.abilist
+++ b/sysdeps/unix/sysv/linux/alpha/libm.abilist
@@ -428,6 +428,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 26d9cc674b..df07c0813f 100644
--- a/sysdeps/unix/sysv/linux/arm/libm.abilist
+++ b/sysdeps/unix/sysv/linux/arm/libm.abilist
@@ -75,6 +75,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 a191cd8e0b..8843496ece 100644
--- a/sysdeps/unix/sysv/linux/hppa/libm.abilist
+++ b/sysdeps/unix/sysv/linux/hppa/libm.abilist
@@ -387,5 +387,8 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 0a0383f016..d190600993 100644
--- a/sysdeps/unix/sysv/linux/i386/libm.abilist
+++ b/sysdeps/unix/sysv/linux/i386/libm.abilist
@@ -431,4 +431,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 017b0f9f7a..134ac93610 100644
--- a/sysdeps/unix/sysv/linux/ia64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/ia64/libm.abilist
@@ -360,4 +360,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 26d9cc674b..df07c0813f 100644
--- a/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist
@@ -75,6 +75,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 945d51e325..92330262a5 100644
--- a/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
+++ b/sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist
@@ -429,4 +429,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 deb4189844..c2e2341007 100644
--- a/sysdeps/unix/sysv/linux/microblaze/libm.abilist
+++ b/sysdeps/unix/sysv/linux/microblaze/libm.abilist
@@ -386,3 +386,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
index ceb12918e9..0711143030 100644
--- a/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips32/libm.abilist
@@ -388,6 +388,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 003fe7b567..8a8c95b529 100644
--- a/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/mips/mips64/libm.abilist
@@ -420,4 +420,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 d57c3ebc1c..c0c94ac4fd 100644
--- a/sysdeps/unix/sysv/linux/nios2/libm.abilist
+++ b/sysdeps/unix/sysv/linux/nios2/libm.abilist
@@ -386,3 +386,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
index b22ec56740..2bec6c63b4 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist
@@ -431,6 +431,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 777a39d0e1..4e04409a83 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist
@@ -430,6 +430,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 1b900c7144..1a30becc27 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist
@@ -425,3 +425,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
index 0a8600e29d..015a1149f2 100644
--- a/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist
@@ -106,6 +106,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 d7fff5327f..0c2c3e90a4 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist
@@ -418,6 +418,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 4d682e604f..d192753020 100644
--- a/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist
@@ -416,6 +416,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 0092b62a24..3f6a29622c 100644
--- a/sysdeps/unix/sysv/linux/sh/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sh/libm.abilist
@@ -387,5 +387,8 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 4ad593cbae..739a06134a 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist
@@ -421,6 +421,9 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 90a2bd57ed..80fd387a32 100644
--- a/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist
@@ -419,4 +419,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 5d502c0bc8..6154ee8980 100644
--- a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist
@@ -387,3 +387,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
index 5d502c0bc8..6154ee8980 100644
--- a/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist
@@ -387,3 +387,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist b/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
index 5d502c0bc8..6154ee8980 100644
--- a/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
+++ b/sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist
@@ -387,3 +387,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F
diff --git a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
index 3364b0271d..9b2c5abfe6 100644
--- a/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/64/libm.abilist
@@ -420,4 +420,7 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl 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 6a3a3ce0ca..a93e4837e6 100644
--- a/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist
@@ -419,3 +419,6 @@ GLIBC_2.25 fegetmode F
 GLIBC_2.25 fesetexcept F
 GLIBC_2.25 fesetmode F
 GLIBC_2.25 fetestexceptflag F
+GLIBC_2.25 totalorder F
+GLIBC_2.25 totalorderf F
+GLIBC_2.25 totalorderl F