From: Aurelien Jarno <aurelien@aurel32.net>
Date: Sun, 19 Feb 2012 10:20:18 +0000 (+0100)
Subject: Use non-signaling floating-point comparisons in math functions.
X-Git-Url: http://git.ipfire.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=21902de70da58fa02f2a2a0ce583263170203332;p=thirdparty%2Fglibc.git

Use non-signaling floating-point comparisons in math functions.

(cherry-picked from commit 92221550d72bafcd322ac5ab2a951054184b7f1a)
---

diff --git a/ChangeLog b/ChangeLog
index 0b9a6e55268..6d01b56ba4d 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -3,6 +3,49 @@
 	* sysdeps/sparc/sparc32/fpu/libm-test-ulps: More jn test ULP updates.
 	* sysdeps/sparc/sparc64/fpu/libm-test-ulps: Likewise.
 
+2012-02-19  Aurelien Jarno  <aurelien@aurel32.net>
+
+	* math/w_acos.c: Use non-signaling floating-point comparisons.
+	* math/w_acosf.c: Likewise.
+	* math/w_acosh.c: Likewise.
+	* math/w_acoshf.c: Likewise.
+	* math/w_acoshl.c: Likewise.
+	* math/w_acosl.c: Likewise.
+	* math/w_asin.c: Likewise.
+	* math/w_asinf.c: Likewise.
+	* math/w_asinl.c: Likewise.
+	* math/w_atanh.c: Likewise.
+	* math/w_atanhf.c: Likewise.
+	* math/w_atanhl.c: Likewise.
+	* math/w_exp2.c: Likewise.
+	* math/w_exp2f.c: Likewise.
+	* math/w_exp2l.c: Likewise.
+	* math/w_j0.c: Likewise.
+	* math/w_j0f.c: Likewise.
+	* math/w_j0l.c: Likewise.
+	* math/w_j1.c: Likewise.
+	* math/w_j1f.c: Likewise.
+	* math/w_j1l.c: Likewise.
+	* math/w_jn.c: Likewise.
+	* math/w_jnf.c: Likewise.
+	* math/w_log.c: Likewise.
+	* math/w_log10.c: Likewise.
+	* math/w_log10f.c: Likewise.
+	* math/w_log10l.c: Likewise.
+	* math/w_log2.c: Likewise.
+	* math/w_log2f.c: Likewise.
+	* math/w_log2l.c: Likewise.
+	* math/w_logf.c: Likewise.
+	* math/w_logl.c: Likewise.
+	* math/w_sqrt.c: Likewise.
+	* math/w_sqrtf.c: Likewise.
+	* math/w_sqrtl.c: Likewise.
+	* sysdeps/ieee754/dbl-64/e_atanh.c: Likewise.
+	* sysdeps/ieee754/dbl-64/w_exp.c: Likewise.
+	* sysdeps/ieee754/flt-32/e_atanhf.c: Likewise.
+	* sysdeps/ieee754/flt-32/w_expf.c: Likewise.
+	* sysdeps/ieee754/ldbl-96/w_expl.c: Likewise.
+
 2012-02-22  Carlos O'Donell  <carlos_odonell@mentor.com>
 
 	[BZ #411]
diff --git a/NEWS b/NEWS
index 6f899b6af3e..b92705d8a3f 100644
--- a/NEWS
+++ b/NEWS
@@ -9,7 +9,7 @@ Version 2.15.1
 
 * The following bugs are resolved with this release:
 
-  411, 13731, 13748
+  411, 13731, 13732, 13748
 
 Version 2.15
 
diff --git a/math/w_acos.c b/math/w_acos.c
index 617cfdae498..0a0ab9cc145 100644
--- a/math/w_acos.c
+++ b/math/w_acos.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 double
 __acos (double x)
 {
-  if (__builtin_expect (fabs (x) > 1.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabs (x), 1.0), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* acos(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_acosf.c b/math/w_acosf.c
index bb3aae0010b..040f5d66b2b 100644
--- a/math/w_acosf.c
+++ b/math/w_acosf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 float
 __acosf (float x)
 {
-  if (__builtin_expect (fabsf (x) > 1.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsf (x), 1.0f), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* acos(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_acosh.c b/math/w_acosh.c
index 50201b4d223..d512704bd3c 100644
--- a/math/w_acosh.c
+++ b/math/w_acosh.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 double
 __acosh (double x)
 {
-  if (__builtin_expect (x < 1.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x,  1.0), 0) && _LIB_VERSION != _IEEE_)
     /* acosh(x<1) */
     return __kernel_standard (x, x, 29);
 
diff --git a/math/w_acoshf.c b/math/w_acoshf.c
index 2b07824a0e4..c00a8c88b99 100644
--- a/math/w_acoshf.c
+++ b/math/w_acoshf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 float
 __acoshf (float x)
 {
-  if (__builtin_expect (x < 1.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x, 1.0f), 0) && _LIB_VERSION != _IEEE_)
     /* acosh(x<1) */
     return __kernel_standard_f (x, x, 129);
 
diff --git a/math/w_acoshl.c b/math/w_acoshl.c
index 0f7068a96e8..80ac67e68f1 100644
--- a/math/w_acoshl.c
+++ b/math/w_acoshl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 long double
 __acoshl (long double x)
 {
-  if (__builtin_expect (x < 1.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x, 1.0L), 0) && _LIB_VERSION != _IEEE_)
     /* acosh(x<1) */
     return __kernel_standard (x, x, 229);
 
diff --git a/math/w_acosl.c b/math/w_acosl.c
index dd1039ec855..c112950e6dc 100644
--- a/math/w_acosl.c
+++ b/math/w_acosl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 long double
 __acosl (long double x)
 {
-  if (__builtin_expect (fabsl (x) > 1.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsl (x), 1.0L), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* acos(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_asin.c b/math/w_asin.c
index feb5c6aaf3f..b8c645ce208 100644
--- a/math/w_asin.c
+++ b/math/w_asin.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 double
 __asin (double x)
 {
-  if (__builtin_expect (fabs (x) > 1.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabs (x),  1.0), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* asin(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_asinf.c b/math/w_asinf.c
index 1a21dc389a1..ff4afeff161 100644
--- a/math/w_asinf.c
+++ b/math/w_asinf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 float
 __asinf (float x)
 {
-  if (__builtin_expect (fabsf (x) > 1.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsf (x), 1.0f), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* asin(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_asinl.c b/math/w_asinl.c
index a9f14fbd631..05ba88ee4e1 100644
--- a/math/w_asinl.c
+++ b/math/w_asinl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 long double
 __asinl (long double x)
 {
-  if (__builtin_expect (fabsl (x) > 1.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsl (x), 1.0L), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       /* asin(|x|>1) */
       feraiseexcept (FE_INVALID);
diff --git a/math/w_atanh.c b/math/w_atanh.c
index 61ea0d87543..830528a9516 100644
--- a/math/w_atanh.c
+++ b/math/w_atanh.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,8 @@
 double
 __atanh (double x)
 {
-  if (__builtin_expect (fabs (x) >= 1.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreaterequal (fabs (x), 1.0), 0)
+      && _LIB_VERSION != _IEEE_)
     return __kernel_standard (x, x,
 			      fabs (x) > 1.0
 			      ? 30		/* atanh(|x|>1) */
diff --git a/math/w_atanhf.c b/math/w_atanhf.c
index fd1dbaeee35..36c293803a7 100644
--- a/math/w_atanhf.c
+++ b/math/w_atanhf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,8 @@
 float
 __atanhf (float x)
 {
-  if (__builtin_expect (fabsf (x) >= 1.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreaterequal (fabsf (x), 1.0f), 0)
+      && _LIB_VERSION != _IEEE_)
     return __kernel_standard_f (x, x,
 				fabsf (x) > 1.0f
 				? 130		/* atanh(|x|>1) */
diff --git a/math/w_atanhl.c b/math/w_atanhl.c
index 7c958f1312d..6d7617d075d 100644
--- a/math/w_atanhl.c
+++ b/math/w_atanhl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,8 @@
 long double
 __atanhl (long double x)
 {
-  if (__builtin_expect (fabsl (x) >= 1.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreaterequal (fabsl (x), 1.0L), 0)
+      && _LIB_VERSION != _IEEE_)
     return __kernel_standard (x, x,
 			      fabsl (x) > 1.0L
 			      ? 230		/* atanh(|x|>1) */
diff --git a/math/w_exp2.c b/math/w_exp2.c
index bf223265cb4..7a3b0afb74d 100644
--- a/math/w_exp2.c
+++ b/math/w_exp2.c
@@ -12,7 +12,8 @@ static const double u_threshold = (double) (DBL_MIN_EXP - DBL_MANT_DIG - 1);
 double
 __exp2 (double x)
 {
-  if (__builtin_expect (x <= u_threshold || x > o_threshold, 0)
+  if (__builtin_expect (islessequal (x, u_threshold)
+			|| isgreater (x, o_threshold), 0)
       && _LIB_VERSION != _IEEE_ && __finite (x))
     /* exp2 overflow: 44, exp2 underflow: 45 */
     return __kernel_standard (x, x, 44 + (x <= o_threshold));
diff --git a/math/w_exp2f.c b/math/w_exp2f.c
index 7215fcaf4cb..c4e9e941640 100644
--- a/math/w_exp2f.c
+++ b/math/w_exp2f.c
@@ -12,7 +12,8 @@ static const float u_threshold = (float) (FLT_MIN_EXP - FLT_MANT_DIG - 1);
 float
 __exp2f (float x)
 {
-  if (__builtin_expect (x <= u_threshold || x > o_threshold, 0)
+  if (__builtin_expect (islessequal (x, u_threshold)
+			|| isgreater (x, o_threshold), 0)
       && _LIB_VERSION != _IEEE_ && __finitef (x))
     /* exp2 overflow: 144, exp2 underflow: 145 */
     return __kernel_standard_f (x, x, 144 + (x <= o_threshold));
diff --git a/math/w_exp2l.c b/math/w_exp2l.c
index ac8d231e2c6..442a637347e 100644
--- a/math/w_exp2l.c
+++ b/math/w_exp2l.c
@@ -13,7 +13,8 @@ static const long double u_threshold
 long double
 __exp2l (long double x)
 {
-  if (__builtin_expect (x <= u_threshold || x > o_threshold, 0)
+  if (__builtin_expect (islessequal (x, u_threshold)
+			|| isgreater (x, o_threshold), 0)
       && _LIB_VERSION != _IEEE_ && __finitel (x))
     /* exp2 overflow: 244, exp2 underflow: 245 */
     return __kernel_standard (x, x, 244 + (x <= o_threshold));
diff --git a/math/w_j0.c b/math/w_j0.c
index 361352048ca..af714ddcec9 100644
--- a/math/w_j0.c
+++ b/math/w_j0.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 double
 j0 (double x)
 {
-  if (__builtin_expect (fabs (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabs (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* j0(|x|>X_TLOSS) */
     return __kernel_standard (x, x, 34);
 
@@ -41,7 +42,8 @@ strong_alias (j0, j0l)
 double
 y0 (double x)
 {
-  if (__builtin_expect (x <= 0.0 || x > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0) || isgreater (x, X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0)
 	{
diff --git a/math/w_j0f.c b/math/w_j0f.c
index ff1ac3ca3d2..2ba994f08d6 100644
--- a/math/w_j0f.c
+++ b/math/w_j0f.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 float
 j0f (float x)
 {
-  if (__builtin_expect (fabsf (x) > (float) X_TLOSS, 0)
+  if (__builtin_expect (isgreater (fabsf (x), (float) X_TLOSS), 0)
       && _LIB_VERSION != _IEEE_)
     /* j0(|x|>X_TLOSS) */
     return __kernel_standard_f (x, x, 134);
@@ -39,7 +39,8 @@ j0f (float x)
 float
 y0f (float x)
 {
-  if (__builtin_expect (x <= 0.0f || x > (float) X_TLOSS, 0)
+  if (__builtin_expect (islessequal (x, 0.0f)
+                        || isgreater (x, (float) X_TLOSS), 0)
       && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0f)
diff --git a/math/w_j0l.c b/math/w_j0l.c
index a16363d53a8..117581f50b1 100644
--- a/math/w_j0l.c
+++ b/math/w_j0l.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 long double
 __j0l (long double x)
 {
-  if (__builtin_expect (fabsl (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsl (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* j0(|x|>X_TLOSS) */
     return __kernel_standard (x, x, 234);
 
@@ -39,7 +40,8 @@ weak_alias (__j0l, j0l)
 long double
 __y0l (long double x)
 {
-  if (__builtin_expect (x <= 0.0L || x > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0L) || isgreater (x, X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0L)
 	{
diff --git a/math/w_j1.c b/math/w_j1.c
index 09cacb82c55..d4703bdc212 100644
--- a/math/w_j1.c
+++ b/math/w_j1.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 double
 j1 (double x)
 {
-  if (__builtin_expect (fabs (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabs (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* j1(|x|>X_TLOSS) */
     return __kernel_standard (x, x, 36);
 
@@ -41,7 +42,8 @@ strong_alias (j1, j1l)
 double
 y1 (double x)
 {
-  if (__builtin_expect (x <= 0.0 || x > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0) || isgreater (x, X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0)
 	{
diff --git a/math/w_j1f.c b/math/w_j1f.c
index 40a2cf30228..6134f5550d1 100644
--- a/math/w_j1f.c
+++ b/math/w_j1f.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 float
 j1f (float x)
 {
-  if (__builtin_expect (fabsf (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsf (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* j1(|x|>X_TLOSS) */
     return __kernel_standard_f (x, x, 136);
 
@@ -38,7 +39,8 @@ j1f (float x)
 float
 y1f (float x)
 {
-  if (__builtin_expect (x <= 0.0f || x > (float) X_TLOSS, 0)
+  if (__builtin_expect (islessequal (x, 0.0f)
+			|| isgreater (x, (float) X_TLOSS), 0)
       && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0f)
diff --git a/math/w_j1l.c b/math/w_j1l.c
index 91b56e332ca..a35662ed2de 100644
--- a/math/w_j1l.c
+++ b/math/w_j1l.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 long double
 __j1l (long double x)
 {
-  if (__builtin_expect (fabsl (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabsl (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* j1(|x|>X_TLOSS) */
     return __kernel_standard (x, x, 236);
 
@@ -39,7 +40,8 @@ weak_alias (__j1l, j1l)
 long double
 __y1l (long double x)
 {
-  if (__builtin_expect (x <= 0.0L || x > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0L) || isgreater (x, X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0L)
 	{
diff --git a/math/w_jn.c b/math/w_jn.c
index 36fb4481633..ff0e24d0969 100644
--- a/math/w_jn.c
+++ b/math/w_jn.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,8 @@
 double
 jn (int n, double x)
 {
-  if (__builtin_expect (fabs (x) > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isgreater (fabs (x), X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     /* jn(n,|x|>X_TLOSS) */
     return __kernel_standard (n, x, 38);
 
@@ -41,7 +42,8 @@ strong_alias (jn, jnl)
 double
 yn (int n, double x)
 {
-  if (__builtin_expect (x <= 0.0 || x > X_TLOSS, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0) || isgreater (x, X_TLOSS), 0)
+      && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0)
 	{
diff --git a/math/w_jnf.c b/math/w_jnf.c
index 7b359558f1a..7d720999782 100644
--- a/math/w_jnf.c
+++ b/math/w_jnf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 float
 jnf (int n, float x)
 {
-  if (__builtin_expect (fabsf (x) > (float) X_TLOSS, 0)
+  if (__builtin_expect (isgreater (fabsf (x), (float) X_TLOSS), 0)
       && _LIB_VERSION != _IEEE_)
     /* jn(n,|x|>X_TLOSS) */
     return __kernel_standard_f (n, x, 138);
@@ -39,7 +39,8 @@ jnf (int n, float x)
 float
 ynf (int n, float x)
 {
-  if (__builtin_expect (x <= 0.0f || x > (float) X_TLOSS, 0)
+  if (__builtin_expect (islessequal (x, 0.0f)
+			|| isgreater (x, (float) X_TLOSS), 0)
       && _LIB_VERSION != _IEEE_)
     {
       if (x < 0.0f)
diff --git a/math/w_log.c b/math/w_log.c
index b43af792c54..f7169ed2c8a 100644
--- a/math/w_log.c
+++ b/math/w_log.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 double
 __log (double x)
 {
-  if (__builtin_expect (x <= 0.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0)
 	{
diff --git a/math/w_log10.c b/math/w_log10.c
index 75ae580c9be..ec4dcba531e 100644
--- a/math/w_log10.c
+++ b/math/w_log10.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 double
 __log10 (double x)
 {
-  if (__builtin_expect (x <= 0.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0)
 	{
diff --git a/math/w_log10f.c b/math/w_log10f.c
index 3426e2d05b3..0c7605d19a0 100644
--- a/math/w_log10f.c
+++ b/math/w_log10f.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 float
 __log10f (float x)
 {
-  if (__builtin_expect (x <= 0.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0f)
 	{
diff --git a/math/w_log10l.c b/math/w_log10l.c
index 6f81f3961ad..4d347b879d2 100644
--- a/math/w_log10l.c
+++ b/math/w_log10l.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 long double
 __log10l (long double x)
 {
-  if (__builtin_expect (x <= 0.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0L), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0L)
 	{
diff --git a/math/w_log2.c b/math/w_log2.c
index 6d420438d44..43e718b9fc4 100644
--- a/math/w_log2.c
+++ b/math/w_log2.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 double
 __log2 (double x)
 {
-  if (__builtin_expect (x <= 0.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0)
 	{
diff --git a/math/w_log2f.c b/math/w_log2f.c
index 7c64ad8b81d..0cf2ef9911a 100644
--- a/math/w_log2f.c
+++ b/math/w_log2f.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 float
 __log2f (float x)
 {
-  if (__builtin_expect (x <= 0.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0)
 	{
diff --git a/math/w_log2l.c b/math/w_log2l.c
index f589768b157..f465379e262 100644
--- a/math/w_log2l.c
+++ b/math/w_log2l.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 long double
 __log2l (long double x)
 {
-  if (__builtin_expect (x <= 0.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0L), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0L)
 	{
diff --git a/math/w_logf.c b/math/w_logf.c
index 52b9befd1ba..8b88b4b8927 100644
--- a/math/w_logf.c
+++ b/math/w_logf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 float
 __logf (float x)
 {
-  if (__builtin_expect (x <= 0.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0f)
 	{
diff --git a/math/w_logl.c b/math/w_logl.c
index 9f2bdf06ccd..75623e9fdf9 100644
--- a/math/w_logl.c
+++ b/math/w_logl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -26,7 +26,7 @@
 long double
 __logl (long double x)
 {
-  if (__builtin_expect (x <= 0.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (islessequal (x, 0.0L), 0) && _LIB_VERSION != _IEEE_)
     {
       if (x == 0.0L)
 	{
diff --git a/math/w_sqrt.c b/math/w_sqrt.c
index 8a435ef48e7..b49296d2a48 100644
--- a/math/w_sqrt.c
+++ b/math/w_sqrt.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 double
 __sqrt (double x)
 {
-  if (__builtin_expect (x < 0.0, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x, 0.0), 0) && _LIB_VERSION != _IEEE_)
     return __kernel_standard (x, x, 26); /* sqrt(negative) */
 
   return __ieee754_sqrt (x);
diff --git a/math/w_sqrtf.c b/math/w_sqrtf.c
index fc088b6222c..565504ac284 100644
--- a/math/w_sqrtf.c
+++ b/math/w_sqrtf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 float
 __sqrtf (float x)
 {
-  if (__builtin_expect (x < 0.0f, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x, 0.0f), 0) && _LIB_VERSION != _IEEE_)
     return __kernel_standard_f (x, x, 126); /* sqrt(negative) */
 
   return __ieee754_sqrtf (x);
diff --git a/math/w_sqrtl.c b/math/w_sqrtl.c
index 0c446295c64..539c89a9204 100644
--- a/math/w_sqrtl.c
+++ b/math/w_sqrtl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -25,7 +25,7 @@
 long double
 __sqrtl (long double x)
 {
-  if (__builtin_expect (x < 0.0L, 0) && _LIB_VERSION != _IEEE_)
+  if (__builtin_expect (isless (x, 0.0L), 0) && _LIB_VERSION != _IEEE_)
     return __kernel_standard (x, x, 226); /* sqrt(negative) */
 
   return __ieee754_sqrtl (x);
diff --git a/sysdeps/ieee754/dbl-64/e_atanh.c b/sysdeps/ieee754/dbl-64/e_atanh.c
index 1f83e319818..4366ddd2382 100644
--- a/sysdeps/ieee754/dbl-64/e_atanh.c
+++ b/sysdeps/ieee754/dbl-64/e_atanh.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -47,7 +47,7 @@ __ieee754_atanh (double x)
 {
   double xa = fabs (x);
   double t;
-  if (xa < 0.5)
+  if (isless (xa, 0.5))
     {
       if (__builtin_expect (xa < 0x1.0p-28, 0))
 	{
@@ -58,11 +58,11 @@ __ieee754_atanh (double x)
       t = xa + xa;
       t = 0.5 * __log1p (t + t * xa / (1.0 - xa));
     }
-  else if (__builtin_expect (xa < 1.0, 1))
+  else if (__builtin_expect (isless (xa, 1.0), 1))
     t = 0.5 * __log1p ((xa + xa) / (1.0 - xa));
   else
     {
-      if (xa > 1.0)
+      if (isgreater (xa, 1.0))
 	return (x - x) / (x - x);
 
       return x / 0.0;
diff --git a/sysdeps/ieee754/dbl-64/w_exp.c b/sysdeps/ieee754/dbl-64/w_exp.c
index f1becff94c9..f5af6b18606 100644
--- a/sysdeps/ieee754/dbl-64/w_exp.c
+++ b/sysdeps/ieee754/dbl-64/w_exp.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -29,12 +29,12 @@ u_threshold= -7.45133219101941108420e+02;  /* 0xc0874910, 0xD52D3051 */
 double
 __exp (double x)
 {
-  if (__builtin_expect (x > o_threshold, 0))
+  if (__builtin_expect (isgreater (x, o_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard_f (x, x, 6);
     }
-  else if (__builtin_expect (x < u_threshold, 0))
+  else if (__builtin_expect (isless (x, u_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard_f (x, x, 7);
diff --git a/sysdeps/ieee754/flt-32/e_atanhf.c b/sysdeps/ieee754/flt-32/e_atanhf.c
index d98a11ed67b..a1d03b49843 100644
--- a/sysdeps/ieee754/flt-32/e_atanhf.c
+++ b/sysdeps/ieee754/flt-32/e_atanhf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -47,7 +47,7 @@ __ieee754_atanhf (float x)
 {
   float xa = fabsf (x);
   float t;
-  if (xa < 0.5f)
+  if (isless (xa, 0.5f))
     {
       if (__builtin_expect (xa < 0x1.0p-28f, 0))
 	{
@@ -58,11 +58,11 @@ __ieee754_atanhf (float x)
       t = xa + xa;
       t = 0.5f * __log1pf (t + t * xa / (1.0f - xa));
     }
-  else if (__builtin_expect (xa < 1.0f, 1))
+  else if (__builtin_expect (isless (xa, 1.0f), 1))
     t = 0.5f * __log1pf ((xa + xa) / (1.0f - xa));
   else
     {
-      if (xa > 1.0f)
+      if (isgreater (xa, 1.0f))
 	return (x - x) / (x - x);
 
       return x / 0.0f;
diff --git a/sysdeps/ieee754/flt-32/w_expf.c b/sysdeps/ieee754/flt-32/w_expf.c
index 151c5845478..b4d08246eed 100644
--- a/sysdeps/ieee754/flt-32/w_expf.c
+++ b/sysdeps/ieee754/flt-32/w_expf.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -29,12 +29,12 @@ u_threshold= -1.0397208405e+02;  /* 0xc2cff1b5 */
 float
 __expf (float x)
 {
-  if (__builtin_expect (x > o_threshold, 0))
+  if (__builtin_expect (isgreater (x, o_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard_f (x, x, 106);
     }
-  else if (__builtin_expect (x < u_threshold, 0))
+  else if (__builtin_expect (isless (x, u_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard_f (x, x, 107);
diff --git a/sysdeps/ieee754/ldbl-96/w_expl.c b/sysdeps/ieee754/ldbl-96/w_expl.c
index 703a0a20499..b66d03efd1f 100644
--- a/sysdeps/ieee754/ldbl-96/w_expl.c
+++ b/sysdeps/ieee754/ldbl-96/w_expl.c
@@ -1,4 +1,4 @@
-/* Copyright (C) 2011 Free Software Foundation, Inc.
+/* Copyright (C) 2011, 2012 Free Software Foundation, Inc.
    This file is part of the GNU C Library.
    Contributed by Ulrich Drepper <drepper@gmail.com>, 2011.
 
@@ -31,12 +31,12 @@ u_threshold= -1.140019167866942050398521670162263001513e4;
 long double
 __expl (long double x)
 {
-  if (__builtin_expect (x > o_threshold, 0))
+  if (__builtin_expect (isgreater (x, o_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard (x, x, 206);
     }
-  else if (__builtin_expect (x < u_threshold, 0))
+  else if (__builtin_expect (isless (x, u_threshold), 0))
     {
       if (_LIB_VERSION != _IEEE_)
 	return __kernel_standard (x, x, 207);