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.

2 files changed, 73 insertions, 1 deletions

diff --git a/sysdeps/ieee754/ldbl-128ibm/s_totalordermagl.c b/sysdeps/ieee754/ldbl-128ibm/s_totalordermagl.c
new file mode 100644
index 0000000000..509a23a669
--- /dev/null
+++ b/sysdeps/ieee754/ldbl-128ibm/s_totalordermagl.c
@@ -0,0 +1,63 @@
+/* Total order operation on absolute values.  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
+totalordermagl (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 x_sign = hx & 0x8000000000000000ULL;
+  uint64_t y_sign = hy & 0x8000000000000000ULL;
+  hx ^= x_sign;
+  hy ^= y_sign;
+  if (hx < hy)
+    return 1;
+  else if (hx > hy)
+    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 >= 0x7ff0000000000000ULL)
+    return 1;
+  EXTRACT_WORDS64 (lx, xlo);
+  EXTRACT_WORDS64 (ly, ylo);
+  if (((lx | ly) & 0x7fffffffffffffffULL) == 0)
+    return 1;
+  lx ^= x_sign;
+  ly ^= y_sign;
+
+  /* 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
index 78b162c4fc..8e61a89f53 100644
--- a/sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c
+++ b/sysdeps/ieee754/ldbl-128ibm/test-totalorderl-ldbl-128ibm.c
@@ -1,4 +1,4 @@
-/* Test totalorderl for ldbl-128ibm.
+/* Test totalorderl and totalordermagl for ldbl-128ibm.
    Copyright (C) 2016 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
 
@@ -55,6 +55,15 @@ do_test (void)
 	  printf ("FAIL: test %zu\n", i);
 	  result = 1;
 	}
+      to1 = totalordermagl (ldx, ldy);
+      to2 = totalordermagl (ldy, ldx);
+      if (to1 && to2)
+	printf ("PASS: test %zu (totalordermagl)\n", i);
+      else
+	{
+	  printf ("FAIL: test %zu (totalordermagl)\n", i);
+	  result = 1;
+	}
     }
 
   return result;