Add totalordermag, totalordermagf, totalordermagl.

In addition to the totalorder functions, TS 18661-1 defines
totalordermag functions, which do the same comparison but on the
absolute values of the arguments.  This patch implements these
functions for glibc, including the type-generic macro in <tgmath.h>.
In general the implementations are similar to but simpler than those
for the totalorder functions.

Tested for x86_64, x86, mips64 and powerpc.

	* math/bits/mathcalls.h [__GLIBC_USE (IEC_60559_BFP_EXT)]
	(totalordermag): New declaration.
	* math/tgmath.h [__GLIBC_USE (IEC_60559_BFP_EXT)] (totalordermag):
	New macro.
	* math/Versions (totalordermag): New libm symbol at version
	GLIBC_2.25.
	(totalordermagf): Likewise.
	(totalordermagl): Likewise.
	* math/Makefile (libm-calls): Add s_totalordermagF.
	* math/libm-test.inc (totalordermag_test_data): New array.
	(totalordermag_test): New function.
	(main): Call totalordermag_test.
	* math/test-tgmath.c (NCALLS): Increase to 125.
	(F(compile_test)): Call totalordermag.
	(F(totalordermag)): New function.
	* manual/arith.texi (FP Comparison Functions): Document
	totalordermag, totalordermagf and totalordermagl.
	* manual/libm-err-tab.pl: Update comment on interfaces without
	ulps tabulated.
	* sysdeps/ieee754/dbl-64/s_totalordermag.c: New file.
	* sysdeps/ieee754/dbl-64/wordsize-64/s_totalordermag.c: Likewise.
	* sysdeps/ieee754/flt-32/s_totalordermagf.c: Likewise.
	* sysdeps/ieee754/ldbl-128/s_totalordermagl.c: Likewise.
	* sysdeps/ieee754/ldbl-128ibm/s_totalordermagl.c: Likewise.
	* sysdeps/ieee754/ldbl-96/s_totalordermagl.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/nldbl-totalordermag.c: Likewise.
	* sysdeps/ieee754/ldbl-opt/Makefile (libnldbl-calls): Add
	totalordermag.
	(CFLAGS-nldbl-totalordermag.c): New variable.
	* sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c
	(do_test): Also test totalordermagl.
	* sysdeps/ieee754/ldbl-96/test-totalorderl-ldbl-96.c (do_test):
	Likewise.
	* sysdeps/nacl/libm.abilist: Update.
	* sysdeps/unix/sysv/linux/aarch64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/alpha/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/arm/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/hppa/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/i386/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/ia64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/coldfire/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/m68k/m680x0/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/microblaze/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/mips/mips64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/nios2/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/fpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc32/nofpu/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm-le.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/powerpc/powerpc64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/s390/s390-64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sh/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc32/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/sparc/sparc64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx32/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilegx/tilegx64/libm.abilist:
	Likewise.
	* sysdeps/unix/sysv/linux/tile/tilepro/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/64/libm.abilist: Likewise.
	* sysdeps/unix/sysv/linux/x86_64/x32/libm.abilist: Likewise.

6 files changed, 271 insertions, 3 deletions

diff --git a/math/Makefile b/math/Makefile
index ffaeb7c958..7c378fc5c3 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 s_totalorderF $(gen-libm-calls)
+	s_nextupF s_totalorderF s_totalordermagF $(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 29246de94a..67e826a40e 100644
--- a/math/Versions
+++ b/math/Versions
@@ -218,5 +218,6 @@ libm {
     fesetexcept; fetestexceptflag; fegetmode; fesetmode;
     __iscanonicall; __iseqsigf; __iseqsig; __iseqsigl;
     totalorder; totalorderf; totalorderl;
+    totalordermag; totalordermagf; totalordermagl;
   }
 }
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index c800c2d27d..030130656c 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -390,6 +390,10 @@ __MATHDECL_1 (int, __issignaling,, (_Mdouble_ __value))
 /* Total order operation.  */
 __MATHDECL_1 (int, totalorder,, (_Mdouble_ __x, _Mdouble_ __y))
      __attribute__ ((__const__));
+
+/* Total order operation on absolute values.  */
+__MATHDECL_1 (int, totalordermag,, (_Mdouble_ __x, _Mdouble_ __y))
+     __attribute__ ((__const__));
 #endif
 
 #if defined __USE_MISC || (defined __USE_XOPEN_EXTENDED \
diff --git a/math/libm-test.inc b/math/libm-test.inc
index 4ad0938ff7..91451bfa99 100644
--- a/math/libm-test.inc
+++ b/math/libm-test.inc
@@ -54,7 +54,7 @@
    pow, pow10, remainder, remquo, rint, lrint, llrint,
    round, lround, llround,
    scalb, scalbn, scalbln, signbit, sin, sincos, sinh, sqrt,
-   tan, tanh, tgamma, totalorder, trunc,
+   tan, tanh, tgamma, totalorder, totalordermag, trunc,
    y0, y1, yn, significand
 
    and for the following complex math functions:
@@ -12517,6 +12517,254 @@ totalorder_test (void)
 }
 
 
+static const struct test_ff_i_data totalordermag_test_data[] =
+  {
+    TEST_ff_b (totalordermag, minus_zero, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, minus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, plus_zero, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_infty, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, minus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, plus_infty, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_infty, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, minus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, plus_infty, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, -qnan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value, -snan_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value, -snan_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, -min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, minus_zero, min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, -min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, plus_zero, min_subnorm_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -min_subnorm_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -min_subnorm_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, min_subnorm_value, minus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, min_subnorm_value, plus_zero, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, min_value, max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, min_value, -max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -min_value, max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -min_value, -max_value, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, max_value, min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, max_value, -min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -max_value, min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -max_value, -min_value, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x2"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x2"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x3fffff"), -qnan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), -snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x2"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), -snan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), -snan_value_pl ("0x2"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x2"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x1"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x2"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), -snan_value_pl ("0x3fffff"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x3fffff"), qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x3fffff"), -qnan_value_pl ("0x1"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x1"), snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x1"), -snan_value_pl ("0x3fffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if PAYLOAD_DIG >= 34
+    TEST_ff_b (totalordermag, qnan_value_pl ("0xffffffff"), qnan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0xffffffff"), -qnan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x100000000"), qnan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x100000000"), -qnan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0xffffffff"), snan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0xffffffff"), -snan_value_pl ("0x100000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x100000000"), snan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x100000000"), -snan_value_pl ("0xffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x100000000"), qnan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x100000000"), -qnan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x200000000"), qnan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x200000000"), -qnan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x100000000"), snan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x100000000"), -snan_value_pl ("0x200000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x200000000"), snan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x200000000"), -snan_value_pl ("0x100000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if PAYLOAD_DIG >= 66
+    TEST_ff_b (totalordermag, qnan_value_pl ("0xffffffffffffffff"), qnan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0xffffffffffffffff"), -qnan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x10000000000000000"), qnan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x10000000000000000"), -qnan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0xffffffffffffffff"), snan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0xffffffffffffffff"), -snan_value_pl ("0x10000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x10000000000000000"), snan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x10000000000000000"), -snan_value_pl ("0xffffffffffffffff"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x10000000000000000"), qnan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x10000000000000000"), -qnan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, qnan_value_pl ("0x20000000000000000"), qnan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -qnan_value_pl ("0x20000000000000000"), -qnan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x10000000000000000"), snan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x10000000000000000"), -snan_value_pl ("0x20000000000000000"), 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, snan_value_pl ("0x20000000000000000"), snan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, -snan_value_pl ("0x20000000000000000"), -snan_value_pl ("0x10000000000000000"), 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+    TEST_ff_b (totalordermag, 1, 0x1.000002p0, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x1.000002p0, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 0x0.ffffffp0, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x0.ffffffp0, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#if MANT_DIG >= 53
+    TEST_ff_b (totalordermag, 1, 0x1.0000000000001p0, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x1.0000000000001p0, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 0x0.fffffffffffff8p0, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x0.fffffffffffff8p0, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 64
+    TEST_ff_b (totalordermag, 1, 0x1.0000000000000002p0, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x1.0000000000000002p0, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 0x0.ffffffffffffffffp0, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x0.ffffffffffffffffp0, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 106
+    TEST_ff_b (totalordermag, 1, 0x1.000000000000000000000000008p0, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x1.000000000000000000000000008p0, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 0x0.ffffffffffffffffffffffffffcp0, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x0.ffffffffffffffffffffffffffcp0, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+#if MANT_DIG >= 113
+    TEST_ff_b (totalordermag, 1, 0x1.0000000000000000000000000001p0, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x1.0000000000000000000000000001p0, 1, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 1, 0x0.ffffffffffffffffffffffffffff8p0, 0, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+    TEST_ff_b (totalordermag, 0x0.ffffffffffffffffffffffffffff8p0, 1, 1, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
+#endif
+  };
+
+static void
+totalordermag_test (void)
+{
+  ALL_RM_TEST (totalordermag, 1, totalordermag_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),
@@ -13181,6 +13429,7 @@ main (int argc, char **argv)
 
   /* Total order functions:  */
   totalorder_test ();
+  totalordermag_test ();
 
   /* Complex functions:  */
   cabs_test ();
diff --git a/math/test-tgmath.c b/math/test-tgmath.c
index a24058c9bd..a919c64aab 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     122
+#define NCALLS     125
 #define NCALLS_INT 4
 #define NCCALLS    47
 
@@ -286,6 +286,7 @@ F(compile_test) (void)
   a = fmin (fmin (x, a), fmin (c, b));
   b = fma (sin (a), sin (x), sin (c));
   a = totalorder (totalorder (x, b), totalorder (c, x));
+  b = totalordermag (totalordermag (x, a), totalordermag (c, x));
 
 #ifdef TEST_INT
   a = atan2 (i, b);
@@ -383,6 +384,7 @@ F(compile_test) (void)
       a = fmin (y, y);
       a = fma (y, y, y);
       a = totalorder (y, y);
+      a = totalordermag (y, y);
 
 #ifdef TEST_INT
       a = atan2 (i, y);
@@ -884,6 +886,14 @@ int
   return x + y;
 }
 
+int
+(F(totalordermag)) (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 267e2921d5..0d51ae60be 100644
--- a/math/tgmath.h
+++ b/math/tgmath.h
@@ -441,6 +441,10 @@
 /* Total order operation.  */
 # define totalorder(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2,	\
 							   totalorder)
+
+/* Total order operation on absolute values.  */
+# define totalordermag(Val1, Val2) __TGMATH_BINARY_REAL_ONLY (Val1, Val2, \
+							      totalordermag)
 #endif