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diff --git a/i686-linux-gnu-4.7/usr/include/c++/4.7/ext/numeric_traits.h b/i686-linux-gnu-4.7/usr/include/c++/4.7/ext/numeric_traits.h
new file mode 100644
index 0000000..e84e298
--- /dev/null
+++ b/i686-linux-gnu-4.7/usr/include/c++/4.7/ext/numeric_traits.h
@@ -0,0 +1,138 @@
+// -*- C++ -*-
+
+// Copyright (C) 2007, 2008, 2009, 2010 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 ext/numeric_traits.h
+ *  This file is a GNU extension to the Standard C++ Library.
+ */
+
+#ifndef _EXT_NUMERIC_TRAITS
+#define _EXT_NUMERIC_TRAITS 1
+
+#pragma GCC system_header
+
+#include <bits/cpp_type_traits.h>
+#include <ext/type_traits.h>
+
+namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+  // Compile time constants for builtin types.
+  // Sadly std::numeric_limits member functions cannot be used for this.
+#define __glibcxx_signed(_Tp) ((_Tp)(-1) < 0)
+#define __glibcxx_digits(_Tp) \
+  (sizeof(_Tp) * __CHAR_BIT__ - __glibcxx_signed(_Tp))
+
+#define __glibcxx_min(_Tp) \
+  (__glibcxx_signed(_Tp) ? (_Tp)1 << __glibcxx_digits(_Tp) : (_Tp)0)
+
+#define __glibcxx_max(_Tp) \
+  (__glibcxx_signed(_Tp) ? \
+   (((((_Tp)1 << (__glibcxx_digits(_Tp) - 1)) - 1) << 1) + 1) : ~(_Tp)0)
+
+  template<typename _Value>
+    struct __numeric_traits_integer
+    {
+      // Only integers for initialization of member constant.
+      static const _Value __min = __glibcxx_min(_Value);
+      static const _Value __max = __glibcxx_max(_Value);
+
+      // NB: these two also available in std::numeric_limits as compile
+      // time constants, but <limits> is big and we avoid including it.
+      static const bool __is_signed = __glibcxx_signed(_Value);
+      static const int __digits = __glibcxx_digits(_Value);      
+    };
+
+  template<typename _Value>
+    const _Value __numeric_traits_integer<_Value>::__min;
+
+  template<typename _Value>
+    const _Value __numeric_traits_integer<_Value>::__max;
+
+  template<typename _Value>
+    const bool __numeric_traits_integer<_Value>::__is_signed;
+
+  template<typename _Value>
+    const int __numeric_traits_integer<_Value>::__digits;
+
+#undef __glibcxx_signed
+#undef __glibcxx_digits
+#undef __glibcxx_min
+#undef __glibcxx_max
+
+#define __glibcxx_floating(_Tp, _Fval, _Dval, _LDval) \
+  (std::__are_same<_Tp, float>::__value ? _Fval \
+   : std::__are_same<_Tp, double>::__value ? _Dval : _LDval)
+
+#define __glibcxx_max_digits10(_Tp) \
+  (2 + __glibcxx_floating(_Tp, __FLT_MANT_DIG__, __DBL_MANT_DIG__, \
+			  __LDBL_MANT_DIG__) * 643L / 2136)
+
+#define __glibcxx_digits10(_Tp) \
+  __glibcxx_floating(_Tp, __FLT_DIG__, __DBL_DIG__, __LDBL_DIG__)
+
+#define __glibcxx_max_exponent10(_Tp) \
+  __glibcxx_floating(_Tp, __FLT_MAX_10_EXP__, __DBL_MAX_10_EXP__, \
+		     __LDBL_MAX_10_EXP__)
+
+  template<typename _Value>
+    struct __numeric_traits_floating
+    {
+      // Only floating point types. See N1822. 
+      static const int __max_digits10 = __glibcxx_max_digits10(_Value);
+
+      // See above comment...
+      static const bool __is_signed = true;
+      static const int __digits10 = __glibcxx_digits10(_Value);
+      static const int __max_exponent10 = __glibcxx_max_exponent10(_Value);
+    };
+
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__max_digits10;
+
+  template<typename _Value>
+    const bool __numeric_traits_floating<_Value>::__is_signed;
+
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__digits10;
+
+  template<typename _Value>
+    const int __numeric_traits_floating<_Value>::__max_exponent10;
+
+  template<typename _Value>
+    struct __numeric_traits
+    : public __conditional_type<std::__is_integer<_Value>::__value,
+				__numeric_traits_integer<_Value>,
+				__numeric_traits_floating<_Value> >::__type
+    { };
+
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
+
+#undef __glibcxx_floating
+#undef __glibcxx_max_digits10
+#undef __glibcxx_digits10
+#undef __glibcxx_max_exponent10
+
+#endif