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.

1 files changed, 258 insertions, 4 deletions

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 ();