diff -Nur gcc-4.8.3.orig/libstdc++-v3/include/c_global/cmath gcc-4.8.3/libstdc++-v3/include/c_global/cmath
--- gcc-4.8.3.orig/libstdc++-v3/include/c_global/cmath	2013-02-03 18:54:05.000000000 +0100
+++ gcc-4.8.3/libstdc++-v3/include/c_global/cmath	2014-07-27 07:24:43.600272987 +0200
@@ -1040,143 +1040,213 @@
   // functions
   using ::acosh;
   using ::acoshf;
+#ifdef __LONG_DOUBLE_128__
   using ::acoshl;
+#endif
 
   using ::asinh;
   using ::asinhf;
+#ifdef __LONG_DOUBLE_128__
   using ::asinhl;
+#endif
 
   using ::atanh;
   using ::atanhf;
+#ifdef __LONG_DOUBLE_128__
   using ::atanhl;
+#endif
 
   using ::cbrt;
   using ::cbrtf;
+#ifdef __LONG_DOUBLE_128__
   using ::cbrtl;
+#endif
 
   using ::copysign;
   using ::copysignf;
+#ifdef __LONG_DOUBLE_128__
   using ::copysignl;
+#endif
 
   using ::erf;
   using ::erff;
+#ifdef __LONG_DOUBLE_128__
   using ::erfl;
+#endif
 
   using ::erfc;
   using ::erfcf;
+#ifdef __LONG_DOUBLE_128__
   using ::erfcl;
+#endif
 
   using ::exp2;
   using ::exp2f;
+#ifdef __LONG_DOUBLE_128__
   using ::exp2l;
+#endif
 
   using ::expm1;
   using ::expm1f;
+#ifdef __LONG_DOUBLE_128__
   using ::expm1l;
+#endif
 
   using ::fdim;
   using ::fdimf;
+#ifdef __LONG_DOUBLE_128__
   using ::fdiml;
+#endif
 
   using ::fma;
   using ::fmaf;
+#ifdef __LONG_DOUBLE_128__
   using ::fmal;
+#endif
 
   using ::fmax;
   using ::fmaxf;
+#ifdef __LONG_DOUBLE_128__
   using ::fmaxl;
+#endif
 
   using ::fmin;
   using ::fminf;
+#ifdef __LONG_DOUBLE_128__
   using ::fminl;
+#endif
 
   using ::hypot;
   using ::hypotf;
+#ifdef __LONG_DOUBLE_128__
   using ::hypotl;
+#endif
 
   using ::ilogb;
   using ::ilogbf;
+#ifdef __LONG_DOUBLE_128__
   using ::ilogbl;
+#endif
 
   using ::lgamma;
   using ::lgammaf;
+#ifdef __LONG_DOUBLE_128__
   using ::lgammal;
+#endif
 
   using ::llrint;
   using ::llrintf;
+#ifdef __LONG_DOUBLE_128__
   using ::llrintl;
+#endif
 
   using ::llround;
   using ::llroundf;
+#ifdef __LONG_DOUBLE_128__
   using ::llroundl;
+#endif
 
   using ::log1p;
   using ::log1pf;
+#ifdef __LONG_DOUBLE_128__
   using ::log1pl;
+#endif
 
   using ::log2;
   using ::log2f;
+#ifdef __LONG_DOUBLE_128__
   using ::log2l;
+#endif
 
   using ::logb;
   using ::logbf;
+#ifdef __LONG_DOUBLE_128__
   using ::logbl;
+#endif
 
   using ::lrint;
   using ::lrintf;
+#ifdef __LONG_DOUBLE_128__
   using ::lrintl;
+#endif
 
   using ::lround;
   using ::lroundf;
+#ifdef __LONG_DOUBLE_128__
   using ::lroundl;
+#endif
 
   using ::nan;
   using ::nanf;
+#ifdef __LONG_DOUBLE_128__
   using ::nanl;
+#endif
 
   using ::nearbyint;
   using ::nearbyintf;
+#ifdef __LONG_DOUBLE_128__
   using ::nearbyintl;
+#endif
 
   using ::nextafter;
   using ::nextafterf;
+#ifdef __LONG_DOUBLE_128__
   using ::nextafterl;
+#endif
 
   using ::nexttoward;
   using ::nexttowardf;
+#ifdef __LONG_DOUBLE_128__
   using ::nexttowardl;
+#endif
 
   using ::remainder;
   using ::remainderf;
+#ifdef __LONG_DOUBLE_128__
   using ::remainderl;
+#endif
 
   using ::remquo;
   using ::remquof;
+#ifdef __LONG_DOUBLE_128__
   using ::remquol;
+#endif
 
   using ::rint;
   using ::rintf;
+#ifdef __LONG_DOUBLE_128__
   using ::rintl;
+#endif
 
   using ::round;
   using ::roundf;
+#ifdef __LONG_DOUBLE_128__
   using ::roundl;
+#endif
 
   using ::scalbln;
   using ::scalblnf;
+#ifdef __LONG_DOUBLE_128__
   using ::scalblnl;
+#endif
 
   using ::scalbn;
   using ::scalbnf;
+#ifdef __LONG_DOUBLE_128__
   using ::scalbnl;
+#endif
 
   using ::tgamma;
   using ::tgammaf;
+#ifdef __LONG_DOUBLE_128__
   using ::tgammal;
+#endif
 
   using ::trunc;
   using ::truncf;
+#ifdef __LONG_DOUBLE_128__
   using ::truncl;
+#endif
 
   /// Additional overloads.
   constexpr float
diff -Nur gcc-4.8.3.orig/libstdc++-v3/include/tr1/cmath gcc-4.8.3/libstdc++-v3/include/tr1/cmath
--- gcc-4.8.3.orig/libstdc++-v3/include/tr1/cmath	2013-02-03 18:54:05.000000000 +0100
+++ gcc-4.8.3/libstdc++-v3/include/tr1/cmath	2014-07-26 12:58:43.652151897 +0200
@@ -158,143 +158,213 @@
   // functions
   using ::acosh;
   using ::acoshf;
+#ifdef __LONG_DOUBLE_128__
   using ::acoshl;
+#endif
 
   using ::asinh;
   using ::asinhf;
+#ifdef __LONG_DOUBLE_128__
   using ::asinhl;
+#endif
 
   using ::atanh;
   using ::atanhf;
+#ifdef __LONG_DOUBLE_128__
   using ::atanhl;
+#endif
 
   using ::cbrt;
   using ::cbrtf;
+#ifdef __LONG_DOUBLE_128__
   using ::cbrtl;
+#endif
 
   using ::copysign;
   using ::copysignf;
+#ifdef __LONG_DOUBLE_128__
   using ::copysignl;
+#endif
 
   using ::erf;
   using ::erff;
+#ifdef __LONG_DOUBLE_128__
   using ::erfl;
+#endif
 
   using ::erfc;
   using ::erfcf;
+#ifdef __LONG_DOUBLE_128__
   using ::erfcl;
+#endif
 
   using ::exp2;
   using ::exp2f;
+#ifdef __LONG_DOUBLE_128__
   using ::exp2l;
+#endif
 
   using ::expm1;
   using ::expm1f;
+#ifdef __LONG_DOUBLE_128__
   using ::expm1l;
+#endif
 
   using ::fdim;
   using ::fdimf;
+#ifdef __LONG_DOUBLE_128__
   using ::fdiml;
+#endif
 
   using ::fma;
   using ::fmaf;
+#ifdef __LONG_DOUBLE_128__
   using ::fmal;
+#endif
 
   using ::fmax;
   using ::fmaxf;
+#ifdef __LONG_DOUBLE_128__
   using ::fmaxl;
+#endif
 
   using ::fmin;
   using ::fminf;
+#ifdef __LONG_DOUBLE_128__
   using ::fminl;
+#endif
 
   using ::hypot;
   using ::hypotf;
+#ifdef __LONG_DOUBLE_128__
   using ::hypotl;
+#endif
 
   using ::ilogb;
   using ::ilogbf;
+#ifdef __LONG_DOUBLE_128__
   using ::ilogbl;
+#endif
 
   using ::lgamma;
   using ::lgammaf;
+#ifdef __LONG_DOUBLE_128__
   using ::lgammal;
+#endif
 
   using ::llrint;
   using ::llrintf;
+#ifdef __LONG_DOUBLE_128__
   using ::llrintl;
+#endif
 
   using ::llround;
   using ::llroundf;
+#ifdef __LONG_DOUBLE_128__
   using ::llroundl;
+#endif
 
   using ::log1p;
   using ::log1pf;
+#ifdef __LONG_DOUBLE_128__
   using ::log1pl;
+#endif
 
   using ::log2;
   using ::log2f;
+#ifdef __LONG_DOUBLE_128__
   using ::log2l;
+#endif
 
   using ::logb;
   using ::logbf;
+#ifdef __LONG_DOUBLE_128__
   using ::logbl;
+#endif
 
   using ::lrint;
   using ::lrintf;
+#ifdef __LONG_DOUBLE_128__
   using ::lrintl;
+#endif
 
   using ::lround;
   using ::lroundf;
+#ifdef __LONG_DOUBLE_128__
   using ::lroundl;
+#endif
 
   using ::nan;
   using ::nanf;
+#ifdef __LONG_DOUBLE_128__
   using ::nanl;
+#endif
 
   using ::nearbyint;
   using ::nearbyintf;
+#ifdef __LONG_DOUBLE_128__
   using ::nearbyintl;
+#endif
 
   using ::nextafter;
   using ::nextafterf;
+#ifdef __LONG_DOUBLE_128__
   using ::nextafterl;
+#endif
 
   using ::nexttoward;
   using ::nexttowardf;
+#ifdef __LONG_DOUBLE_128__
   using ::nexttowardl;
+#endif
 
   using ::remainder;
   using ::remainderf;
+#ifdef __LONG_DOUBLE_128__
   using ::remainderl;
+#endif
 
   using ::remquo;
   using ::remquof;
+#ifdef __LONG_DOUBLE_128__
   using ::remquol;
+#endif
 
   using ::rint;
   using ::rintf;
+#ifdef __LONG_DOUBLE_128__
   using ::rintl;
+#endif
 
   using ::round;
   using ::roundf;
+#ifdef __LONG_DOUBLE_128__
   using ::roundl;
+#endif
 
   using ::scalbln;
   using ::scalblnf;
+#ifdef __LONG_DOUBLE_128__
   using ::scalblnl;
+#endif
 
   using ::scalbn;
   using ::scalbnf;
+#ifdef __LONG_DOUBLE_128__
   using ::scalbnl;
+#endif
 
   using ::tgamma;
   using ::tgammaf;
+#ifdef __LONG_DOUBLE_128__
   using ::tgammal;
+#endif
 
   using ::trunc;
   using ::truncf;
+#ifdef __LONG_DOUBLE_128__
   using ::truncl;
+#endif
 
 #endif
 
diff -Nur gcc-4.8.3.orig/libstdc++-v3/include/tr1/cmath.orig gcc-4.8.3/libstdc++-v3/include/tr1/cmath.orig
--- gcc-4.8.3.orig/libstdc++-v3/include/tr1/cmath.orig	1970-01-01 01:00:00.000000000 +0100
+++ gcc-4.8.3/libstdc++-v3/include/tr1/cmath.orig	2013-02-03 18:54:05.000000000 +0100
@@ -0,0 +1,1440 @@
+// TR1 cmath -*- C++ -*-
+
+// Copyright (C) 2006-2013 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+
+// This 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 General Public License for more details.
+
+// Under Section 7 of GPL version 3, you are granted additional
+// permissions described in the GCC Runtime Library Exception, version
+// 3.1, as published by the Free Software Foundation.
+
+// You should have received a copy of the GNU General Public License and
+// a copy of the GCC Runtime Library Exception along with this program;
+// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
+// <http://www.gnu.org/licenses/>.
+
+/** @file tr1/cmath
+ *  This is a TR1 C++ Library header. 
+ */
+
+#ifndef _GLIBCXX_TR1_CMATH
+#define _GLIBCXX_TR1_CMATH 1
+
+#pragma GCC system_header
+
+#include <cmath>
+
+#ifdef _GLIBCXX_USE_C99_MATH_TR1
+
+#undef acosh
+#undef acoshf
+#undef acoshl
+#undef asinh
+#undef asinhf
+#undef asinhl
+#undef atanh
+#undef atanhf
+#undef atanhl
+#undef cbrt
+#undef cbrtf
+#undef cbrtl
+#undef copysign
+#undef copysignf
+#undef copysignl
+#undef erf
+#undef erff
+#undef erfl
+#undef erfc
+#undef erfcf
+#undef erfcl
+#undef exp2
+#undef exp2f
+#undef exp2l
+#undef expm1
+#undef expm1f
+#undef expm1l
+#undef fdim
+#undef fdimf
+#undef fdiml
+#undef fma
+#undef fmaf
+#undef fmal
+#undef fmax
+#undef fmaxf
+#undef fmaxl
+#undef fmin
+#undef fminf
+#undef fminl
+#undef hypot
+#undef hypotf
+#undef hypotl
+#undef ilogb
+#undef ilogbf
+#undef ilogbl
+#undef lgamma
+#undef lgammaf
+#undef lgammal
+#undef llrint
+#undef llrintf
+#undef llrintl
+#undef llround
+#undef llroundf
+#undef llroundl
+#undef log1p
+#undef log1pf
+#undef log1pl
+#undef log2
+#undef log2f
+#undef log2l
+#undef logb
+#undef logbf
+#undef logbl
+#undef lrint
+#undef lrintf
+#undef lrintl
+#undef lround
+#undef lroundf
+#undef lroundl
+#undef nan
+#undef nanf
+#undef nanl
+#undef nearbyint
+#undef nearbyintf
+#undef nearbyintl
+#undef nextafter
+#undef nextafterf
+#undef nextafterl
+#undef nexttoward
+#undef nexttowardf
+#undef nexttowardl
+#undef remainder
+#undef remainderf
+#undef remainderl
+#undef remquo
+#undef remquof
+#undef remquol
+#undef rint
+#undef rintf
+#undef rintl
+#undef round
+#undef roundf
+#undef roundl
+#undef scalbln
+#undef scalblnf
+#undef scalblnl
+#undef scalbn
+#undef scalbnf
+#undef scalbnl
+#undef tgamma
+#undef tgammaf
+#undef tgammal
+#undef trunc
+#undef truncf
+#undef truncl
+
+#endif
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+namespace tr1
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+#if _GLIBCXX_USE_C99_MATH_TR1
+
+  // types
+  using ::double_t;
+  using ::float_t;
+
+  // functions
+  using ::acosh;
+  using ::acoshf;
+  using ::acoshl;
+
+  using ::asinh;
+  using ::asinhf;
+  using ::asinhl;
+
+  using ::atanh;
+  using ::atanhf;
+  using ::atanhl;
+
+  using ::cbrt;
+  using ::cbrtf;
+  using ::cbrtl;
+
+  using ::copysign;
+  using ::copysignf;
+  using ::copysignl;
+
+  using ::erf;
+  using ::erff;
+  using ::erfl;
+
+  using ::erfc;
+  using ::erfcf;
+  using ::erfcl;
+
+  using ::exp2;
+  using ::exp2f;
+  using ::exp2l;
+
+  using ::expm1;
+  using ::expm1f;
+  using ::expm1l;
+
+  using ::fdim;
+  using ::fdimf;
+  using ::fdiml;
+
+  using ::fma;
+  using ::fmaf;
+  using ::fmal;
+
+  using ::fmax;
+  using ::fmaxf;
+  using ::fmaxl;
+
+  using ::fmin;
+  using ::fminf;
+  using ::fminl;
+
+  using ::hypot;
+  using ::hypotf;
+  using ::hypotl;
+
+  using ::ilogb;
+  using ::ilogbf;
+  using ::ilogbl;
+
+  using ::lgamma;
+  using ::lgammaf;
+  using ::lgammal;
+
+  using ::llrint;
+  using ::llrintf;
+  using ::llrintl;
+
+  using ::llround;
+  using ::llroundf;
+  using ::llroundl;
+
+  using ::log1p;
+  using ::log1pf;
+  using ::log1pl;
+
+  using ::log2;
+  using ::log2f;
+  using ::log2l;
+
+  using ::logb;
+  using ::logbf;
+  using ::logbl;
+
+  using ::lrint;
+  using ::lrintf;
+  using ::lrintl;
+
+  using ::lround;
+  using ::lroundf;
+  using ::lroundl;
+
+  using ::nan;
+  using ::nanf;
+  using ::nanl;
+
+  using ::nearbyint;
+  using ::nearbyintf;
+  using ::nearbyintl;
+
+  using ::nextafter;
+  using ::nextafterf;
+  using ::nextafterl;
+
+  using ::nexttoward;
+  using ::nexttowardf;
+  using ::nexttowardl;
+
+  using ::remainder;
+  using ::remainderf;
+  using ::remainderl;
+
+  using ::remquo;
+  using ::remquof;
+  using ::remquol;
+
+  using ::rint;
+  using ::rintf;
+  using ::rintl;
+
+  using ::round;
+  using ::roundf;
+  using ::roundl;
+
+  using ::scalbln;
+  using ::scalblnf;
+  using ::scalblnl;
+
+  using ::scalbn;
+  using ::scalbnf;
+  using ::scalbnl;
+
+  using ::tgamma;
+  using ::tgammaf;
+  using ::tgammal;
+
+  using ::trunc;
+  using ::truncf;
+  using ::truncl;
+
+#endif
+
+#if _GLIBCXX_USE_C99_MATH
+#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
+
+  /// Function template definitions [8.16.3].
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    fpclassify(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
+				  FP_SUBNORMAL, FP_ZERO, __type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isfinite(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isfinite(__type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isinf(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isinf(__type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isnan(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isnan(__type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isnormal(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isnormal(__type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    signbit(_Tp __f)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_signbit(__type(__f));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isgreater(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isgreater(__type(__f1), __type(__f2));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isgreaterequal(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isgreaterequal(__type(__f1), __type(__f2));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isless(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isless(__type(__f1), __type(__f2));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    islessequal(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_islessequal(__type(__f1), __type(__f2));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    islessgreater(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_islessgreater(__type(__f1), __type(__f2));
+    }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
+					   int>::__type
+    isunordered(_Tp __f1, _Tp __f2)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __builtin_isunordered(__type(__f1), __type(__f2));
+    }
+
+#endif
+#endif
+
+#if _GLIBCXX_USE_C99_MATH_TR1
+
+  /// Additional overloads [8.16.4].
+  using std::acos;
+
+  inline float
+  acosh(float __x)
+  { return __builtin_acoshf(__x); }
+
+  inline long double
+  acosh(long double __x)
+  { return __builtin_acoshl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    acosh(_Tp __x)
+    { return __builtin_acosh(__x); }
+
+  using std::asin;
+
+  inline float
+  asinh(float __x)
+  { return __builtin_asinhf(__x); }
+
+  inline long double
+  asinh(long double __x)
+  { return __builtin_asinhl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    asinh(_Tp __x)
+    { return __builtin_asinh(__x); }
+
+  using std::atan;
+  using std::atan2;
+
+  inline float
+  atanh(float __x)
+  { return __builtin_atanhf(__x); }
+
+  inline long double
+  atanh(long double __x)
+  { return __builtin_atanhl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    atanh(_Tp __x)
+    { return __builtin_atanh(__x); }
+
+  inline float
+  cbrt(float __x)
+  { return __builtin_cbrtf(__x); }
+
+  inline long double
+  cbrt(long double __x)
+  { return __builtin_cbrtl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    cbrt(_Tp __x)
+    { return __builtin_cbrt(__x); }
+
+  using std::ceil;
+
+  inline float
+  copysign(float __x, float __y)
+  { return __builtin_copysignf(__x, __y); }
+
+  inline long double
+  copysign(long double __x, long double __y)
+  { return __builtin_copysignl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    copysign(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return copysign(__type(__x), __type(__y));
+    }
+
+  using std::cos;
+  using std::cosh;  
+
+  inline float
+  erf(float __x)
+  { return __builtin_erff(__x); }
+
+  inline long double
+  erf(long double __x)
+  { return __builtin_erfl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    erf(_Tp __x)
+    { return __builtin_erf(__x); }
+
+  inline float
+  erfc(float __x)
+  { return __builtin_erfcf(__x); }
+
+  inline long double
+  erfc(long double __x)
+  { return __builtin_erfcl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    erfc(_Tp __x)
+    { return __builtin_erfc(__x); }
+
+  using std::exp;
+
+  inline float
+  exp2(float __x)
+  { return __builtin_exp2f(__x); }
+
+  inline long double
+  exp2(long double __x)
+  { return __builtin_exp2l(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    exp2(_Tp __x)
+    { return __builtin_exp2(__x); }
+
+  inline float
+  expm1(float __x)
+  { return __builtin_expm1f(__x); }
+
+  inline long double
+  expm1(long double __x)
+  { return __builtin_expm1l(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    expm1(_Tp __x)
+    { return __builtin_expm1(__x); }
+
+  // Note: we deal with fabs in a special way, because an using std::fabs
+  // would bring in also the overloads for complex types, which in C++0x
+  // mode have a different return type.
+  // With __CORRECT_ISO_CPP_MATH_H_PROTO, math.h imports std::fabs in the
+  // global namespace after the declarations of the float / double / long
+  // double overloads but before the std::complex overloads.
+  using ::fabs;
+
+#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
+  inline float
+  fabs(float __x)
+  { return __builtin_fabsf(__x); }
+
+  inline long double
+  fabs(long double __x)
+  { return __builtin_fabsl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    fabs(_Tp __x)
+    { return __builtin_fabs(__x); }
+#endif
+
+  inline float
+  fdim(float __x, float __y)
+  { return __builtin_fdimf(__x, __y); }
+
+  inline long double
+  fdim(long double __x, long double __y)
+  { return __builtin_fdiml(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    fdim(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return fdim(__type(__x), __type(__y));
+    }
+
+  using std::floor;
+
+  inline float
+  fma(float __x, float __y, float __z)
+  { return __builtin_fmaf(__x, __y, __z); }
+
+  inline long double
+  fma(long double __x, long double __y, long double __z)
+  { return __builtin_fmal(__x, __y, __z); }
+
+  template<typename _Tp, typename _Up, typename _Vp>
+    inline typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
+    fma(_Tp __x, _Up __y, _Vp __z)
+    {
+      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
+      return fma(__type(__x), __type(__y), __type(__z));
+    }
+
+  inline float
+  fmax(float __x, float __y)
+  { return __builtin_fmaxf(__x, __y); }
+
+  inline long double
+  fmax(long double __x, long double __y)
+  { return __builtin_fmaxl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    fmax(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return fmax(__type(__x), __type(__y));
+    }
+
+  inline float
+  fmin(float __x, float __y)
+  { return __builtin_fminf(__x, __y); }
+
+  inline long double
+  fmin(long double __x, long double __y)
+  { return __builtin_fminl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    fmin(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return fmin(__type(__x), __type(__y));
+    }
+
+  using std::fmod;
+  using std::frexp;
+
+  inline float
+  hypot(float __x, float __y)
+  { return __builtin_hypotf(__x, __y); }
+
+  inline long double
+  hypot(long double __x, long double __y)
+  { return __builtin_hypotl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    hypot(_Tp __y, _Up __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return hypot(__type(__y), __type(__x));
+    }
+
+  inline int
+  ilogb(float __x)
+  { return __builtin_ilogbf(__x); }
+
+  inline int
+  ilogb(long double __x)
+  { return __builtin_ilogbl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   int>::__type
+    ilogb(_Tp __x)
+    { return __builtin_ilogb(__x); }
+
+  using std::ldexp;
+
+  inline float
+  lgamma(float __x)
+  { return __builtin_lgammaf(__x); }
+
+  inline long double
+  lgamma(long double __x)
+  { return __builtin_lgammal(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    lgamma(_Tp __x)
+    { return __builtin_lgamma(__x); }
+
+  inline long long
+  llrint(float __x)
+  { return __builtin_llrintf(__x); }
+
+  inline long long
+  llrint(long double __x)
+  { return __builtin_llrintl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   long long>::__type
+    llrint(_Tp __x)
+    { return __builtin_llrint(__x); }
+
+  inline long long
+  llround(float __x)
+  { return __builtin_llroundf(__x); }
+
+  inline long long
+  llround(long double __x)
+  { return __builtin_llroundl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   long long>::__type
+    llround(_Tp __x)
+    { return __builtin_llround(__x); }
+
+  using std::log;
+  using std::log10;
+
+  inline float
+  log1p(float __x)
+  { return __builtin_log1pf(__x); }
+
+  inline long double
+  log1p(long double __x)
+  { return __builtin_log1pl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    log1p(_Tp __x)
+    { return __builtin_log1p(__x); }
+
+  // DR 568.
+  inline float
+  log2(float __x)
+  { return __builtin_log2f(__x); }
+
+  inline long double
+  log2(long double __x)
+  { return __builtin_log2l(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    log2(_Tp __x)
+    { return __builtin_log2(__x); }
+
+  inline float
+  logb(float __x)
+  { return __builtin_logbf(__x); }
+
+  inline long double
+  logb(long double __x)
+  { return __builtin_logbl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    logb(_Tp __x)
+    {
+      return __builtin_logb(__x);
+    }
+
+  inline long
+  lrint(float __x)
+  { return __builtin_lrintf(__x); }
+
+  inline long
+  lrint(long double __x)
+  { return __builtin_lrintl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   long>::__type
+    lrint(_Tp __x)
+    { return __builtin_lrint(__x); }
+
+  inline long
+  lround(float __x)
+  { return __builtin_lroundf(__x); }
+
+  inline long
+  lround(long double __x)
+  { return __builtin_lroundl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   long>::__type
+    lround(_Tp __x)
+    { return __builtin_lround(__x); }
+
+  inline float
+  nearbyint(float __x)
+  { return __builtin_nearbyintf(__x); }
+
+  inline long double
+  nearbyint(long double __x)
+  { return __builtin_nearbyintl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    nearbyint(_Tp __x)
+    { return __builtin_nearbyint(__x); }
+
+  inline float
+  nextafter(float __x, float __y)
+  { return __builtin_nextafterf(__x, __y); }
+
+  inline long double
+  nextafter(long double __x, long double __y)
+  { return __builtin_nextafterl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    nextafter(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return nextafter(__type(__x), __type(__y));
+    }
+
+  inline float
+  nexttoward(float __x, long double __y)
+  { return __builtin_nexttowardf(__x, __y); }
+
+  inline long double
+  nexttoward(long double __x, long double __y)
+  { return __builtin_nexttowardl(__x, __y); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    nexttoward(_Tp __x, long double __y)
+    { return __builtin_nexttoward(__x, __y); }
+
+  // DR 550. What should the return type of pow(float,int) be?
+  // NB: C++0x and TR1 != C++03.
+  //   using std::pow;
+
+  inline float
+  remainder(float __x, float __y)
+  { return __builtin_remainderf(__x, __y); }
+
+  inline long double
+  remainder(long double __x, long double __y)
+  { return __builtin_remainderl(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    remainder(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return remainder(__type(__x), __type(__y));
+    }
+
+  inline float
+  remquo(float __x, float __y, int* __pquo)
+  { return __builtin_remquof(__x, __y, __pquo); }
+
+  inline long double
+  remquo(long double __x, long double __y, int* __pquo)
+  { return __builtin_remquol(__x, __y, __pquo); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    remquo(_Tp __x, _Up __y, int* __pquo)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return remquo(__type(__x), __type(__y), __pquo);
+    }
+
+  inline float
+  rint(float __x)
+  { return __builtin_rintf(__x); }
+
+  inline long double
+  rint(long double __x)
+  { return __builtin_rintl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    rint(_Tp __x)
+    { return __builtin_rint(__x); }
+
+  inline float
+  round(float __x)
+  { return __builtin_roundf(__x); }
+
+  inline long double
+  round(long double __x)
+  { return __builtin_roundl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    round(_Tp __x)
+    { return __builtin_round(__x); }
+
+  inline float
+  scalbln(float __x, long __ex)
+  { return __builtin_scalblnf(__x, __ex); }
+
+  inline long double
+  scalbln(long double __x, long __ex)
+  { return __builtin_scalblnl(__x, __ex); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    scalbln(_Tp __x, long __ex)
+    { return __builtin_scalbln(__x, __ex); }
+ 
+  inline float
+  scalbn(float __x, int __ex)
+  { return __builtin_scalbnf(__x, __ex); }
+
+  inline long double
+  scalbn(long double __x, int __ex)
+  { return __builtin_scalbnl(__x, __ex); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    scalbn(_Tp __x, int __ex)
+    { return __builtin_scalbn(__x, __ex); }
+
+  using std::sin;
+  using std::sinh;
+  using std::sqrt;
+  using std::tan;
+  using std::tanh;
+
+  inline float
+  tgamma(float __x)
+  { return __builtin_tgammaf(__x); }
+
+  inline long double
+  tgamma(long double __x)
+  { return __builtin_tgammal(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    tgamma(_Tp __x)
+    { return __builtin_tgamma(__x); }
+ 
+  inline float
+  trunc(float __x)
+  { return __builtin_truncf(__x); }
+
+  inline long double
+  trunc(long double __x)
+  { return __builtin_truncl(__x); }
+
+  template<typename _Tp>
+    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
+					   double>::__type
+    trunc(_Tp __x)
+    { return __builtin_trunc(__x); }
+
+#endif
+_GLIBCXX_END_NAMESPACE_VERSION
+}
+}
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+namespace tr1
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+  // DR 550. What should the return type of pow(float,int) be?
+  // NB: C++0x and TR1 != C++03.
+  inline double
+  pow(double __x, double __y)
+  { return std::pow(__x, __y); }
+
+  inline float
+  pow(float __x, float __y)
+  { return std::pow(__x, __y); }
+
+  inline long double
+  pow(long double __x, long double __y)
+  { return std::pow(__x, __y); }
+
+  template<typename _Tp, typename _Up>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
+    pow(_Tp __x, _Up __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
+      return std::pow(__type(__x), __type(__y));
+    }
+
+_GLIBCXX_END_NAMESPACE_VERSION
+}
+}
+
+#include <bits/stl_algobase.h>
+#include <limits>
+#include <tr1/type_traits>
+
+#include <tr1/gamma.tcc>
+#include <tr1/bessel_function.tcc>
+#include <tr1/beta_function.tcc>
+#include <tr1/ell_integral.tcc>
+#include <tr1/exp_integral.tcc>
+#include <tr1/hypergeometric.tcc>
+#include <tr1/legendre_function.tcc>
+#include <tr1/modified_bessel_func.tcc>
+#include <tr1/poly_hermite.tcc>
+#include <tr1/poly_laguerre.tcc>
+#include <tr1/riemann_zeta.tcc>
+
+namespace std _GLIBCXX_VISIBILITY(default)
+{
+namespace tr1
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+  /**
+   * @defgroup tr1_math_spec_func Mathematical Special Functions
+   * @ingroup numerics
+   *
+   * A collection of advanced mathematical special functions.
+   * @{
+   */
+
+  inline float
+  assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
+  { return __detail::__assoc_laguerre<float>(__n, __m, __x); }
+
+  inline long double
+  assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
+  {
+    return __detail::__assoc_laguerre<long double>(__n, __m, __x);
+  }
+
+  ///  5.2.1.1  Associated Laguerre polynomials.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__assoc_laguerre<__type>(__n, __m, __x);
+    }
+
+  inline float
+  assoc_legendref(unsigned int __l, unsigned int __m, float __x)
+  { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }
+
+  inline long double
+  assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
+  { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
+
+  ///  5.2.1.2  Associated Legendre functions.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
+    }
+
+  inline float
+  betaf(float __x, float __y)
+  { return __detail::__beta<float>(__x, __y); }
+
+  inline long double
+  betal(long double __x, long double __y)
+  { return __detail::__beta<long double>(__x, __y); }
+
+  ///  5.2.1.3  Beta functions.
+  template<typename _Tpx, typename _Tpy>
+    inline typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type
+    beta(_Tpx __x, _Tpy __y)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tpx, _Tpy>::__type __type;
+      return __detail::__beta<__type>(__x, __y);
+    }
+
+  inline float
+  comp_ellint_1f(float __k)
+  { return __detail::__comp_ellint_1<float>(__k); }
+
+  inline long double
+  comp_ellint_1l(long double __k)
+  { return __detail::__comp_ellint_1<long double>(__k); }
+
+  ///  5.2.1.4  Complete elliptic integrals of the first kind.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    comp_ellint_1(_Tp __k)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__comp_ellint_1<__type>(__k);
+    }
+
+  inline float
+  comp_ellint_2f(float __k)
+  { return __detail::__comp_ellint_2<float>(__k); }
+
+  inline long double
+  comp_ellint_2l(long double __k)
+  { return __detail::__comp_ellint_2<long double>(__k); }
+
+  ///  5.2.1.5  Complete elliptic integrals of the second kind.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    comp_ellint_2(_Tp __k)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__comp_ellint_2<__type>(__k);
+    }
+
+  inline float
+  comp_ellint_3f(float __k, float __nu)
+  { return __detail::__comp_ellint_3<float>(__k, __nu); }
+
+  inline long double
+  comp_ellint_3l(long double __k, long double __nu)
+  { return __detail::__comp_ellint_3<long double>(__k, __nu); }
+
+  ///  5.2.1.6  Complete elliptic integrals of the third kind.
+  template<typename _Tp, typename _Tpn>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
+    comp_ellint_3(_Tp __k, _Tpn __nu)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
+      return __detail::__comp_ellint_3<__type>(__k, __nu);
+    }
+
+  inline float
+  conf_hypergf(float __a, float __c, float __x)
+  { return __detail::__conf_hyperg<float>(__a, __c, __x); }
+
+  inline long double
+  conf_hypergl(long double __a, long double __c, long double __x)
+  { return __detail::__conf_hyperg<long double>(__a, __c, __x); }
+
+  ///  5.2.1.7  Confluent hypergeometric functions.
+  template<typename _Tpa, typename _Tpc, typename _Tp>
+    inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
+    conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
+      return __detail::__conf_hyperg<__type>(__a, __c, __x);
+    }
+
+  inline float
+  cyl_bessel_if(float __nu, float __x)
+  { return __detail::__cyl_bessel_i<float>(__nu, __x); }
+
+  inline long double
+  cyl_bessel_il(long double __nu, long double __x)
+  { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
+
+  ///  5.2.1.8  Regular modified cylindrical Bessel functions.
+  template<typename _Tpnu, typename _Tp>
+    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
+    cyl_bessel_i(_Tpnu __nu, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
+      return __detail::__cyl_bessel_i<__type>(__nu, __x);
+    }
+
+  inline float
+  cyl_bessel_jf(float __nu, float __x)
+  { return __detail::__cyl_bessel_j<float>(__nu, __x); }
+
+  inline long double
+  cyl_bessel_jl(long double __nu, long double __x)
+  { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
+
+  ///  5.2.1.9  Cylindrical Bessel functions (of the first kind).
+  template<typename _Tpnu, typename _Tp>
+    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
+    cyl_bessel_j(_Tpnu __nu, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
+      return __detail::__cyl_bessel_j<__type>(__nu, __x);
+    }
+
+  inline float
+  cyl_bessel_kf(float __nu, float __x)
+  { return __detail::__cyl_bessel_k<float>(__nu, __x); }
+
+  inline long double
+  cyl_bessel_kl(long double __nu, long double __x)
+  { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
+
+  ///  5.2.1.10  Irregular modified cylindrical Bessel functions.
+  template<typename _Tpnu, typename _Tp>
+    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
+    cyl_bessel_k(_Tpnu __nu, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
+      return __detail::__cyl_bessel_k<__type>(__nu, __x);
+    }
+
+  inline float
+  cyl_neumannf(float __nu, float __x)
+  { return __detail::__cyl_neumann_n<float>(__nu, __x); }
+
+  inline long double
+  cyl_neumannl(long double __nu, long double __x)
+  { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
+
+  ///  5.2.1.11  Cylindrical Neumann functions.
+  template<typename _Tpnu, typename _Tp>
+    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
+    cyl_neumann(_Tpnu __nu, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
+      return __detail::__cyl_neumann_n<__type>(__nu, __x);
+    }
+
+  inline float
+  ellint_1f(float __k, float __phi)
+  { return __detail::__ellint_1<float>(__k, __phi); }
+
+  inline long double
+  ellint_1l(long double __k, long double __phi)
+  { return __detail::__ellint_1<long double>(__k, __phi); }
+
+  ///  5.2.1.12  Incomplete elliptic integrals of the first kind.
+  template<typename _Tp, typename _Tpp>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
+    ellint_1(_Tp __k, _Tpp __phi)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
+      return __detail::__ellint_1<__type>(__k, __phi);
+    }
+
+  inline float
+  ellint_2f(float __k, float __phi)
+  { return __detail::__ellint_2<float>(__k, __phi); }
+
+  inline long double
+  ellint_2l(long double __k, long double __phi)
+  { return __detail::__ellint_2<long double>(__k, __phi); }
+
+  ///  5.2.1.13  Incomplete elliptic integrals of the second kind.
+  template<typename _Tp, typename _Tpp>
+    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
+    ellint_2(_Tp __k, _Tpp __phi)
+    {
+      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
+      return __detail::__ellint_2<__type>(__k, __phi);
+    }
+
+  inline float
+  ellint_3f(float __k, float __nu, float __phi)
+  { return __detail::__ellint_3<float>(__k, __nu, __phi); }
+
+  inline long double
+  ellint_3l(long double __k, long double __nu, long double __phi)
+  { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
+
+  ///  5.2.1.14  Incomplete elliptic integrals of the third kind.
+  template<typename _Tp, typename _Tpn, typename _Tpp>
+    inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
+    ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
+    {
+      typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
+      return __detail::__ellint_3<__type>(__k, __nu, __phi);
+    }
+
+  inline float
+  expintf(float __x)
+  { return __detail::__expint<float>(__x); }
+
+  inline long double
+  expintl(long double __x)
+  { return __detail::__expint<long double>(__x); }
+
+  ///  5.2.1.15  Exponential integrals.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    expint(_Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__expint<__type>(__x);
+    }
+
+  inline float
+  hermitef(unsigned int __n, float __x)
+  { return __detail::__poly_hermite<float>(__n, __x); }
+
+  inline long double
+  hermitel(unsigned int __n, long double __x)
+  { return __detail::__poly_hermite<long double>(__n, __x); }
+
+  ///  5.2.1.16  Hermite polynomials.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    hermite(unsigned int __n, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__poly_hermite<__type>(__n, __x);
+    }
+
+  inline float
+  hypergf(float __a, float __b, float __c, float __x)
+  { return __detail::__hyperg<float>(__a, __b, __c, __x); }
+
+  inline long double
+  hypergl(long double __a, long double __b, long double __c, long double __x)
+  { return __detail::__hyperg<long double>(__a, __b, __c, __x); }
+
+  ///  5.2.1.17  Hypergeometric functions.
+  template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
+    inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
+    hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type __type;
+      return __detail::__hyperg<__type>(__a, __b, __c, __x);
+    }
+
+  inline float
+  laguerref(unsigned int __n, float __x)
+  { return __detail::__laguerre<float>(__n, __x); }
+
+  inline long double
+  laguerrel(unsigned int __n, long double __x)
+  { return __detail::__laguerre<long double>(__n, __x); }
+
+  ///  5.2.1.18  Laguerre polynomials.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    laguerre(unsigned int __n, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__laguerre<__type>(__n, __x);
+    }
+
+  inline float
+  legendref(unsigned int __n, float __x)
+  { return __detail::__poly_legendre_p<float>(__n, __x); }
+
+  inline long double
+  legendrel(unsigned int __n, long double __x)
+  { return __detail::__poly_legendre_p<long double>(__n, __x); }
+
+  ///  5.2.1.19  Legendre polynomials.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    legendre(unsigned int __n, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__poly_legendre_p<__type>(__n, __x);
+    }
+
+  inline float
+  riemann_zetaf(float __x)
+  { return __detail::__riemann_zeta<float>(__x); }
+
+  inline long double
+  riemann_zetal(long double __x)
+  { return __detail::__riemann_zeta<long double>(__x); }
+
+  ///  5.2.1.20  Riemann zeta function.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    riemann_zeta(_Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__riemann_zeta<__type>(__x);
+    }
+
+  inline float
+  sph_besself(unsigned int __n, float __x)
+  { return __detail::__sph_bessel<float>(__n, __x); }
+
+  inline long double
+  sph_bessell(unsigned int __n, long double __x)
+  { return __detail::__sph_bessel<long double>(__n, __x); }
+
+  ///  5.2.1.21  Spherical Bessel functions.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    sph_bessel(unsigned int __n, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__sph_bessel<__type>(__n, __x);
+    }
+
+  inline float
+  sph_legendref(unsigned int __l, unsigned int __m, float __theta)
+  { return __detail::__sph_legendre<float>(__l, __m, __theta); }
+
+  inline long double
+  sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
+  { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
+
+  ///  5.2.1.22  Spherical associated Legendre functions.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__sph_legendre<__type>(__l, __m, __theta);
+    }
+
+  inline float
+  sph_neumannf(unsigned int __n, float __x)
+  { return __detail::__sph_neumann<float>(__n, __x); }
+
+  inline long double
+  sph_neumannl(unsigned int __n, long double __x)
+  { return __detail::__sph_neumann<long double>(__n, __x); }
+
+  ///  5.2.1.23  Spherical Neumann functions.
+  template<typename _Tp>
+    inline typename __gnu_cxx::__promote<_Tp>::__type
+    sph_neumann(unsigned int __n, _Tp __x)
+    {
+      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
+      return __detail::__sph_neumann<__type>(__n, __x);
+    }
+
+  /* @} */ // tr1_math_spec_func
+_GLIBCXX_END_NAMESPACE_VERSION
+}
+}
+
+#endif // _GLIBCXX_TR1_CMATH
