diff --git a/include/ndnboost/operators.hpp b/include/ndnboost/operators.hpp
new file mode 100644
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--- /dev/null
+++ b/include/ndnboost/operators.hpp
@@ -0,0 +1,978 @@
+//  Boost operators.hpp header file  ----------------------------------------//
+
+//  (C) Copyright David Abrahams, Jeremy Siek, Daryle Walker 1999-2001.
+//  Distributed under the Boost Software License, Version 1.0. (See
+//  accompanying file LICENSE_1_0.txt or copy at
+//  http://www.boost.org/LICENSE_1_0.txt)
+
+//  See http://www.boost.org/libs/utility/operators.htm for documentation.
+
+//  Revision History
+//  16 Dec 10 Limit warning suppression for 4284 to older versions of VC++
+//            (Matthew Bradbury, fixes #4432)
+//  07 Aug 08 Added "euclidean" spelling. (Daniel Frey)
+//  03 Apr 08 Make sure "convertible to bool" is sufficient
+//            for T::operator<, etc. (Daniel Frey)
+//  24 May 07 Changed empty_base to depend on T, see
+//            http://svn.boost.org/trac/boost/ticket/979
+//  21 Oct 02 Modified implementation of operators to allow compilers with a
+//            correct named return value optimization (NRVO) to produce optimal
+//            code.  (Daniel Frey)
+//  02 Dec 01 Bug fixed in random_access_iteratable.  (Helmut Zeisel)
+//  28 Sep 01 Factored out iterator operator groups.  (Daryle Walker)
+//  27 Aug 01 'left' form for non commutative operators added;
+//            additional classes for groups of related operators added;
+//            workaround for empty base class optimization
+//            bug of GCC 3.0 (Helmut Zeisel)
+//  25 Jun 01 output_iterator_helper changes: removed default template 
+//            parameters, added support for self-proxying, additional 
+//            documentation and tests (Aleksey Gurtovoy)
+//  29 May 01 Added operator classes for << and >>.  Added input and output
+//            iterator helper classes.  Added classes to connect equality and
+//            relational operators.  Added classes for groups of related
+//            operators.  Reimplemented example operator and iterator helper
+//            classes in terms of the new groups.  (Daryle Walker, with help
+//            from Alexy Gurtovoy)
+//  11 Feb 01 Fixed bugs in the iterator helpers which prevented explicitly
+//            supplied arguments from actually being used (Dave Abrahams)
+//  04 Jul 00 Fixed NO_OPERATORS_IN_NAMESPACE bugs, major cleanup and
+//            refactoring of compiler workarounds, additional documentation
+//            (Alexy Gurtovoy and Mark Rodgers with some help and prompting from
+//            Dave Abrahams) 
+//  28 Jun 00 General cleanup and integration of bugfixes from Mark Rodgers and
+//            Jeremy Siek (Dave Abrahams)
+//  20 Jun 00 Changes to accommodate Borland C++Builder 4 and Borland C++ 5.5
+//            (Mark Rodgers)
+//  20 Jun 00 Minor fixes to the prior revision (Aleksey Gurtovoy)
+//  10 Jun 00 Support for the base class chaining technique was added
+//            (Aleksey Gurtovoy). See documentation and the comments below 
+//            for the details. 
+//  12 Dec 99 Initial version with iterator operators (Jeremy Siek)
+//  18 Nov 99 Change name "divideable" to "dividable", remove unnecessary
+//            specializations of dividable, subtractable, modable (Ed Brey) 
+//  17 Nov 99 Add comments (Beman Dawes)
+//            Remove unnecessary specialization of operators<> (Ed Brey)
+//  15 Nov 99 Fix less_than_comparable<T,U> second operand type for first two
+//            operators.(Beman Dawes)
+//  12 Nov 99 Add operators templates (Ed Brey)
+//  11 Nov 99 Add single template parameter version for compilers without
+//            partial specialization (Beman Dawes)
+//  10 Nov 99 Initial version
+
+// 10 Jun 00:
+// An additional optional template parameter was added to most of 
+// operator templates to support the base class chaining technique (see 
+// documentation for the details). Unfortunately, a straightforward
+// implementation of this change would have broken compatibility with the
+// previous version of the library by making it impossible to use the same
+// template name (e.g. 'addable') for both the 1- and 2-argument versions of
+// an operator template. This implementation solves the backward-compatibility
+// issue at the cost of some simplicity.
+//
+// One of the complications is an existence of special auxiliary class template
+// 'is_chained_base<>' (see 'detail' namespace below), which is used
+// to determine whether its template parameter is a library's operator template
+// or not. You have to specialize 'is_chained_base<>' for each new 
+// operator template you add to the library.
+//
+// However, most of the non-trivial implementation details are hidden behind 
+// several local macros defined below, and as soon as you understand them,
+// you understand the whole library implementation. 
+
+#ifndef NDNBOOST_OPERATORS_HPP
+#define NDNBOOST_OPERATORS_HPP
+
+#include <ndnboost/config.hpp>
+#include <ndnboost/iterator.hpp>
+#include <ndnboost/detail/workaround.hpp>
+
+#if defined(__sgi) && !defined(__GNUC__)
+#   pragma set woff 1234
+#endif
+
+#if NDNBOOST_WORKAROUND(NDNBOOST_MSVC, < 1600)
+#   pragma warning( disable : 4284 ) // complaint about return type of 
+#endif                               // operator-> not begin a UDT
+
+namespace ndnboost {
+namespace detail {
+
+template <typename T> class empty_base {
+
+// Helmut Zeisel, empty base class optimization bug with GCC 3.0.0
+#if defined(__GNUC__) && __GNUC__==3 && __GNUC_MINOR__==0 && __GNU_PATCHLEVEL__==0
+  bool dummy; 
+#endif
+
+};
+
+} // namespace detail
+} // namespace ndnboost
+
+// In this section we supply the xxxx1 and xxxx2 forms of the operator
+// templates, which are explicitly targeted at the 1-type-argument and
+// 2-type-argument operator forms, respectively. Some compilers get confused
+// when inline friend functions are overloaded in namespaces other than the
+// global namespace. When NDNBOOST_NO_OPERATORS_IN_NAMESPACE is defined, all of
+// these templates must go in the global namespace.
+
+#ifndef NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+namespace ndnboost
+{
+#endif
+
+//  Basic operator classes (contributed by Dave Abrahams) ------------------//
+
+//  Note that friend functions defined in a class are implicitly inline.
+//  See the C++ std, 11.4 [class.friend] paragraph 5
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct less_than_comparable2 : B
+{
+     friend bool operator<=(const T& x, const U& y) { return !static_cast<bool>(x > y); }
+     friend bool operator>=(const T& x, const U& y) { return !static_cast<bool>(x < y); }
+     friend bool operator>(const U& x, const T& y)  { return y < x; }
+     friend bool operator<(const U& x, const T& y)  { return y > x; }
+     friend bool operator<=(const U& x, const T& y) { return !static_cast<bool>(y < x); }
+     friend bool operator>=(const U& x, const T& y) { return !static_cast<bool>(y > x); }
+};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct less_than_comparable1 : B
+{
+     friend bool operator>(const T& x, const T& y)  { return y < x; }
+     friend bool operator<=(const T& x, const T& y) { return !static_cast<bool>(y < x); }
+     friend bool operator>=(const T& x, const T& y) { return !static_cast<bool>(x < y); }
+};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct equality_comparable2 : B
+{
+     friend bool operator==(const U& y, const T& x) { return x == y; }
+     friend bool operator!=(const U& y, const T& x) { return !static_cast<bool>(x == y); }
+     friend bool operator!=(const T& y, const U& x) { return !static_cast<bool>(y == x); }
+};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct equality_comparable1 : B
+{
+     friend bool operator!=(const T& x, const T& y) { return !static_cast<bool>(x == y); }
+};
+
+// A macro which produces "name_2left" from "name".
+#define NDNBOOST_OPERATOR2_LEFT(name) name##2##_##left
+
+//  NRVO-friendly implementation (contributed by Daniel Frey) ---------------//
+
+#if defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+// This is the optimal implementation for ISO/ANSI C++,
+// but it requires the compiler to implement the NRVO.
+// If the compiler has no NRVO, this is the best symmetric
+// implementation available.
+
+#define NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP )                         \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >        \
+struct NAME##2 : B                                                            \
+{                                                                             \
+  friend T operator OP( const T& lhs, const U& rhs )                          \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                              \
+  friend T operator OP( const U& lhs, const T& rhs )                          \
+    { T nrv( rhs ); nrv OP##= lhs; return nrv; }                              \
+};                                                                            \
+                                                                              \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >                 \
+struct NAME##1 : B                                                            \
+{                                                                             \
+  friend T operator OP( const T& lhs, const T& rhs )                          \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                              \
+};
+
+#define NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP )               \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >  \
+struct NAME##2 : B                                                      \
+{                                                                       \
+  friend T operator OP( const T& lhs, const U& rhs )                    \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                        \
+};                                                                      \
+                                                                        \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >  \
+struct NDNBOOST_OPERATOR2_LEFT(NAME) : B                                   \
+{                                                                       \
+  friend T operator OP( const U& lhs, const T& rhs )                    \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                        \
+};                                                                      \
+                                                                        \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >           \
+struct NAME##1 : B                                                      \
+{                                                                       \
+  friend T operator OP( const T& lhs, const T& rhs )                    \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                        \
+};
+
+#else // defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+// For compilers without NRVO the following code is optimal, but not
+// symmetric!  Note that the implementation of
+// NDNBOOST_OPERATOR2_LEFT(NAME) only looks cool, but doesn't provide
+// optimization opportunities to the compiler :)
+
+#define NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP )                   \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >  \
+struct NAME##2 : B                                                      \
+{                                                                       \
+  friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; } \
+  friend T operator OP( const U& lhs, T rhs ) { return rhs OP##= lhs; } \
+};                                                                      \
+                                                                        \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >           \
+struct NAME##1 : B                                                      \
+{                                                                       \
+  friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
+};
+
+#define NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP )               \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >  \
+struct NAME##2 : B                                                      \
+{                                                                       \
+  friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; } \
+};                                                                      \
+                                                                        \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >  \
+struct NDNBOOST_OPERATOR2_LEFT(NAME) : B                                   \
+{                                                                       \
+  friend T operator OP( const U& lhs, const T& rhs )                    \
+    { return T( lhs ) OP##= rhs; }                                      \
+};                                                                      \
+                                                                        \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >           \
+struct NAME##1 : B                                                      \
+{                                                                       \
+  friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
+};
+
+#endif // defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( multipliable, * )
+NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( addable, + )
+NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE( subtractable, - )
+NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE( dividable, / )
+NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE( modable, % )
+NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( xorable, ^ )
+NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( andable, & )
+NDNBOOST_BINARY_OPERATOR_COMMUTATIVE( orable, | )
+
+#undef NDNBOOST_BINARY_OPERATOR_COMMUTATIVE
+#undef NDNBOOST_BINARY_OPERATOR_NON_COMMUTATIVE
+#undef NDNBOOST_OPERATOR2_LEFT
+
+//  incrementable and decrementable contributed by Jeremy Siek
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct incrementable : B
+{
+  friend T operator++(T& x, int)
+  {
+    incrementable_type nrv(x);
+    ++x;
+    return nrv;
+  }
+private: // The use of this typedef works around a Borland bug
+  typedef T incrementable_type;
+};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct decrementable : B
+{
+  friend T operator--(T& x, int)
+  {
+    decrementable_type nrv(x);
+    --x;
+    return nrv;
+  }
+private: // The use of this typedef works around a Borland bug
+  typedef T decrementable_type;
+};
+
+//  Iterator operator classes (contributed by Jeremy Siek) ------------------//
+
+template <class T, class P, class B = ::ndnboost::detail::empty_base<T> >
+struct dereferenceable : B
+{
+  P operator->() const
+  { 
+    return &*static_cast<const T&>(*this); 
+  }
+};
+
+template <class T, class I, class R, class B = ::ndnboost::detail::empty_base<T> >
+struct indexable : B
+{
+  R operator[](I n) const
+  {
+    return *(static_cast<const T&>(*this) + n);
+  }
+};
+
+//  More operator classes (contributed by Daryle Walker) --------------------//
+//  (NRVO-friendly implementation contributed by Daniel Frey) ---------------//
+
+#if defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+#define NDNBOOST_BINARY_OPERATOR( NAME, OP )                                     \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >        \
+struct NAME##2 : B                                                            \
+{                                                                             \
+  friend T operator OP( const T& lhs, const U& rhs )                          \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                              \
+};                                                                            \
+                                                                              \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >                 \
+struct NAME##1 : B                                                            \
+{                                                                             \
+  friend T operator OP( const T& lhs, const T& rhs )                          \
+    { T nrv( lhs ); nrv OP##= rhs; return nrv; }                              \
+};
+
+#else // defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+#define NDNBOOST_BINARY_OPERATOR( NAME, OP )                                     \
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >        \
+struct NAME##2 : B                                                            \
+{                                                                             \
+  friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; }       \
+};                                                                            \
+                                                                              \
+template <class T, class B = ::ndnboost::detail::empty_base<T> >                 \
+struct NAME##1 : B                                                            \
+{                                                                             \
+  friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; }       \
+};
+
+#endif // defined(NDNBOOST_HAS_NRVO) || defined(NDNBOOST_FORCE_SYMMETRIC_OPERATORS)
+
+NDNBOOST_BINARY_OPERATOR( left_shiftable, << )
+NDNBOOST_BINARY_OPERATOR( right_shiftable, >> )
+
+#undef NDNBOOST_BINARY_OPERATOR
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct equivalent2 : B
+{
+  friend bool operator==(const T& x, const U& y)
+  {
+    return !static_cast<bool>(x < y) && !static_cast<bool>(x > y);
+  }
+};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct equivalent1 : B
+{
+  friend bool operator==(const T&x, const T&y)
+  {
+    return !static_cast<bool>(x < y) && !static_cast<bool>(y < x);
+  }
+};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct partially_ordered2 : B
+{
+  friend bool operator<=(const T& x, const U& y)
+    { return static_cast<bool>(x < y) || static_cast<bool>(x == y); }
+  friend bool operator>=(const T& x, const U& y)
+    { return static_cast<bool>(x > y) || static_cast<bool>(x == y); }
+  friend bool operator>(const U& x, const T& y)
+    { return y < x; }
+  friend bool operator<(const U& x, const T& y)
+    { return y > x; }
+  friend bool operator<=(const U& x, const T& y)
+    { return static_cast<bool>(y > x) || static_cast<bool>(y == x); }
+  friend bool operator>=(const U& x, const T& y)
+    { return static_cast<bool>(y < x) || static_cast<bool>(y == x); }
+};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct partially_ordered1 : B
+{
+  friend bool operator>(const T& x, const T& y)
+    { return y < x; }
+  friend bool operator<=(const T& x, const T& y)
+    { return static_cast<bool>(x < y) || static_cast<bool>(x == y); }
+  friend bool operator>=(const T& x, const T& y)
+    { return static_cast<bool>(y < x) || static_cast<bool>(x == y); }
+};
+
+//  Combined operator classes (contributed by Daryle Walker) ----------------//
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct totally_ordered2
+    : less_than_comparable2<T, U
+    , equality_comparable2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct totally_ordered1
+    : less_than_comparable1<T
+    , equality_comparable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct additive2
+    : addable2<T, U
+    , subtractable2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct additive1
+    : addable1<T
+    , subtractable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct multiplicative2
+    : multipliable2<T, U
+    , dividable2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct multiplicative1
+    : multipliable1<T
+    , dividable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct integer_multiplicative2
+    : multiplicative2<T, U
+    , modable2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct integer_multiplicative1
+    : multiplicative1<T
+    , modable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct arithmetic2
+    : additive2<T, U
+    , multiplicative2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct arithmetic1
+    : additive1<T
+    , multiplicative1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct integer_arithmetic2
+    : additive2<T, U
+    , integer_multiplicative2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct integer_arithmetic1
+    : additive1<T
+    , integer_multiplicative1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct bitwise2
+    : xorable2<T, U
+    , andable2<T, U
+    , orable2<T, U, B
+      > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct bitwise1
+    : xorable1<T
+    , andable1<T
+    , orable1<T, B
+      > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct unit_steppable
+    : incrementable<T
+    , decrementable<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct shiftable2
+    : left_shiftable2<T, U
+    , right_shiftable2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct shiftable1
+    : left_shiftable1<T
+    , right_shiftable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct ring_operators2
+    : additive2<T, U
+    , subtractable2_left<T, U
+    , multipliable2<T, U, B
+      > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct ring_operators1
+    : additive1<T
+    , multipliable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_ring_operators2
+    : ring_operators2<T, U
+    , totally_ordered2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_ring_operators1
+    : ring_operators1<T
+    , totally_ordered1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct field_operators2
+    : ring_operators2<T, U
+    , dividable2<T, U
+    , dividable2_left<T, U, B
+      > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct field_operators1
+    : ring_operators1<T
+    , dividable1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_field_operators2
+    : field_operators2<T, U
+    , totally_ordered2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_field_operators1
+    : field_operators1<T
+    , totally_ordered1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct euclidian_ring_operators2
+    : ring_operators2<T, U
+    , dividable2<T, U
+    , dividable2_left<T, U
+    , modable2<T, U
+    , modable2_left<T, U, B
+      > > > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct euclidian_ring_operators1
+    : ring_operators1<T
+    , dividable1<T
+    , modable1<T, B
+      > > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_euclidian_ring_operators2
+    : totally_ordered2<T, U
+    , euclidian_ring_operators2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_euclidian_ring_operators1
+    : totally_ordered1<T
+    , euclidian_ring_operators1<T, B
+      > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct euclidean_ring_operators2
+    : ring_operators2<T, U
+    , dividable2<T, U
+    , dividable2_left<T, U
+    , modable2<T, U
+    , modable2_left<T, U, B
+      > > > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct euclidean_ring_operators1
+    : ring_operators1<T
+    , dividable1<T
+    , modable1<T, B
+      > > > {};
+
+template <class T, class U, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_euclidean_ring_operators2
+    : totally_ordered2<T, U
+    , euclidean_ring_operators2<T, U, B
+      > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct ordered_euclidean_ring_operators1
+    : totally_ordered1<T
+    , euclidean_ring_operators1<T, B
+      > > {};
+
+template <class T, class P, class B = ::ndnboost::detail::empty_base<T> >
+struct input_iteratable
+    : equality_comparable1<T
+    , incrementable<T
+    , dereferenceable<T, P, B
+      > > > {};
+
+template <class T, class B = ::ndnboost::detail::empty_base<T> >
+struct output_iteratable
+    : incrementable<T, B
+      > {};
+
+template <class T, class P, class B = ::ndnboost::detail::empty_base<T> >
+struct forward_iteratable
+    : input_iteratable<T, P, B
+      > {};
+
+template <class T, class P, class B = ::ndnboost::detail::empty_base<T> >
+struct bidirectional_iteratable
+    : forward_iteratable<T, P
+    , decrementable<T, B
+      > > {};
+
+//  To avoid repeated derivation from equality_comparable,
+//  which is an indirect base class of bidirectional_iterable,
+//  random_access_iteratable must not be derived from totally_ordered1
+//  but from less_than_comparable1 only. (Helmut Zeisel, 02-Dec-2001)
+template <class T, class P, class D, class R, class B = ::ndnboost::detail::empty_base<T> >
+struct random_access_iteratable
+    : bidirectional_iteratable<T, P
+    , less_than_comparable1<T
+    , additive2<T, D
+    , indexable<T, D, R, B
+      > > > > {};
+
+#ifndef NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+} // namespace ndnboost
+#endif // NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+
+
+// NDNBOOST_IMPORT_TEMPLATE1 .. NDNBOOST_IMPORT_TEMPLATE4 -
+//
+// When NDNBOOST_NO_OPERATORS_IN_NAMESPACE is defined we need a way to import an
+// operator template into the boost namespace. NDNBOOST_IMPORT_TEMPLATE1 is used
+// for one-argument forms of operator templates; NDNBOOST_IMPORT_TEMPLATE2 for
+// two-argument forms. Note that these macros expect to be invoked from within
+// boost.
+
+#ifndef NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+
+  // The template is already in boost so we have nothing to do.
+# define NDNBOOST_IMPORT_TEMPLATE4(template_name)
+# define NDNBOOST_IMPORT_TEMPLATE3(template_name)
+# define NDNBOOST_IMPORT_TEMPLATE2(template_name)
+# define NDNBOOST_IMPORT_TEMPLATE1(template_name)
+
+#else // NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+
+#  ifndef NDNBOOST_NO_USING_TEMPLATE
+
+     // Bring the names in with a using-declaration
+     // to avoid stressing the compiler.
+#    define NDNBOOST_IMPORT_TEMPLATE4(template_name) using ::template_name;
+#    define NDNBOOST_IMPORT_TEMPLATE3(template_name) using ::template_name;
+#    define NDNBOOST_IMPORT_TEMPLATE2(template_name) using ::template_name;
+#    define NDNBOOST_IMPORT_TEMPLATE1(template_name) using ::template_name;
+
+#  else
+
+     // Otherwise, because a Borland C++ 5.5 bug prevents a using declaration
+     // from working, we are forced to use inheritance for that compiler.
+#    define NDNBOOST_IMPORT_TEMPLATE4(template_name)                                             \
+     template <class T, class U, class V, class W, class B = ::ndnboost::detail::empty_base<T> > \
+     struct template_name : ::template_name<T, U, V, W, B> {};
+
+#    define NDNBOOST_IMPORT_TEMPLATE3(template_name)                                    \
+     template <class T, class U, class V, class B = ::ndnboost::detail::empty_base<T> > \
+     struct template_name : ::template_name<T, U, V, B> {};
+
+#    define NDNBOOST_IMPORT_TEMPLATE2(template_name)                           \
+     template <class T, class U, class B = ::ndnboost::detail::empty_base<T> > \
+     struct template_name : ::template_name<T, U, B> {};
+
+#    define NDNBOOST_IMPORT_TEMPLATE1(template_name)                  \
+     template <class T, class B = ::ndnboost::detail::empty_base<T> > \
+     struct template_name : ::template_name<T, B> {};
+
+#  endif // NDNBOOST_NO_USING_TEMPLATE
+
+#endif // NDNBOOST_NO_OPERATORS_IN_NAMESPACE
+
+//
+// Here's where we put it all together, defining the xxxx forms of the templates
+// in namespace ndnboost. We also define specializations of is_chained_base<> for
+// the xxxx, xxxx1, and xxxx2 templates, importing them into ndnboost:: as
+// necessary.
+//
+#ifndef NDNBOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+
+// is_chained_base<> - a traits class used to distinguish whether an operator
+// template argument is being used for base class chaining, or is specifying a
+// 2nd argument type.
+
+namespace ndnboost {
+// A type parameter is used instead of a plain bool because Borland's compiler
+// didn't cope well with the more obvious non-type template parameter.
+namespace detail {
+  struct true_t {};
+  struct false_t {};
+} // namespace detail
+
+// Unspecialized version assumes that most types are not being used for base
+// class chaining. We specialize for the operator templates defined in this
+// library.
+template<class T> struct is_chained_base {
+  typedef ::ndnboost::detail::false_t value;
+};
+
+} // namespace ndnboost
+
+// Import a 4-type-argument operator template into boost (if necessary) and
+// provide a specialization of 'is_chained_base<>' for it.
+# define NDNBOOST_OPERATOR_TEMPLATE4(template_name4)                     \
+  NDNBOOST_IMPORT_TEMPLATE4(template_name4)                              \
+  template<class T, class U, class V, class W, class B>               \
+  struct is_chained_base< ::ndnboost::template_name4<T, U, V, W, B> > {  \
+    typedef ::ndnboost::detail::true_t value;                            \
+  };
+
+// Import a 3-type-argument operator template into boost (if necessary) and
+// provide a specialization of 'is_chained_base<>' for it.
+# define NDNBOOST_OPERATOR_TEMPLATE3(template_name3)                     \
+  NDNBOOST_IMPORT_TEMPLATE3(template_name3)                              \
+  template<class T, class U, class V, class B>                        \
+  struct is_chained_base< ::ndnboost::template_name3<T, U, V, B> > {     \
+    typedef ::ndnboost::detail::true_t value;                            \
+  };
+
+// Import a 2-type-argument operator template into boost (if necessary) and
+// provide a specialization of 'is_chained_base<>' for it.
+# define NDNBOOST_OPERATOR_TEMPLATE2(template_name2)                  \
+  NDNBOOST_IMPORT_TEMPLATE2(template_name2)                           \
+  template<class T, class U, class B>                              \
+  struct is_chained_base< ::ndnboost::template_name2<T, U, B> > {     \
+    typedef ::ndnboost::detail::true_t value;                         \
+  };
+
+// Import a 1-type-argument operator template into boost (if necessary) and
+// provide a specialization of 'is_chained_base<>' for it.
+# define NDNBOOST_OPERATOR_TEMPLATE1(template_name1)                  \
+  NDNBOOST_IMPORT_TEMPLATE1(template_name1)                           \
+  template<class T, class B>                                       \
+  struct is_chained_base< ::ndnboost::template_name1<T, B> > {        \
+    typedef ::ndnboost::detail::true_t value;                         \
+  };
+
+// NDNBOOST_OPERATOR_TEMPLATE(template_name) defines template_name<> such that it
+// can be used for specifying both 1-argument and 2-argument forms. Requires the
+// existence of two previously defined class templates named '<template_name>1'
+// and '<template_name>2' which must implement the corresponding 1- and 2-
+// argument forms.
+//
+// The template type parameter O == is_chained_base<U>::value is used to
+// distinguish whether the 2nd argument to <template_name> is being used for
+// base class chaining from another boost operator template or is describing a
+// 2nd operand type. O == true_t only when U is actually an another operator
+// template from the library. Partial specialization is used to select an
+// implementation in terms of either '<template_name>1' or '<template_name>2'.
+//
+
+# define NDNBOOST_OPERATOR_TEMPLATE(template_name)                    \
+template <class T                                                  \
+         ,class U = T                                              \
+         ,class B = ::ndnboost::detail::empty_base<T>                 \
+         ,class O = typename is_chained_base<U>::value             \
+         >                                                         \
+struct template_name : template_name##2<T, U, B> {};               \
+                                                                   \
+template<class T, class U, class B>                                \
+struct template_name<T, U, B, ::ndnboost::detail::true_t>             \
+  : template_name##1<T, U> {};                                     \
+                                                                   \
+template <class T, class B>                                        \
+struct template_name<T, T, B, ::ndnboost::detail::false_t>            \
+  : template_name##1<T, B> {};                                     \
+                                                                   \
+template<class T, class U, class B, class O>                       \
+struct is_chained_base< ::ndnboost::template_name<T, U, B, O> > {     \
+  typedef ::ndnboost::detail::true_t value;                           \
+};                                                                 \
+                                                                   \
+NDNBOOST_OPERATOR_TEMPLATE2(template_name##2)                         \
+NDNBOOST_OPERATOR_TEMPLATE1(template_name##1)
+
+
+#else // NDNBOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+
+#  define NDNBOOST_OPERATOR_TEMPLATE4(template_name4) \
+        NDNBOOST_IMPORT_TEMPLATE4(template_name4)
+#  define NDNBOOST_OPERATOR_TEMPLATE3(template_name3) \
+        NDNBOOST_IMPORT_TEMPLATE3(template_name3)
+#  define NDNBOOST_OPERATOR_TEMPLATE2(template_name2) \
+        NDNBOOST_IMPORT_TEMPLATE2(template_name2)
+#  define NDNBOOST_OPERATOR_TEMPLATE1(template_name1) \
+        NDNBOOST_IMPORT_TEMPLATE1(template_name1)
+
+   // In this case we can only assume that template_name<> is equivalent to the
+   // more commonly needed template_name1<> form.
+#  define NDNBOOST_OPERATOR_TEMPLATE(template_name)                   \
+   template <class T, class B = ::ndnboost::detail::empty_base<T> >   \
+   struct template_name : template_name##1<T, B> {};
+
+#endif // NDNBOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+
+namespace ndnboost {
+    
+NDNBOOST_OPERATOR_TEMPLATE(less_than_comparable)
+NDNBOOST_OPERATOR_TEMPLATE(equality_comparable)
+NDNBOOST_OPERATOR_TEMPLATE(multipliable)
+NDNBOOST_OPERATOR_TEMPLATE(addable)
+NDNBOOST_OPERATOR_TEMPLATE(subtractable)
+NDNBOOST_OPERATOR_TEMPLATE2(subtractable2_left)
+NDNBOOST_OPERATOR_TEMPLATE(dividable)
+NDNBOOST_OPERATOR_TEMPLATE2(dividable2_left)
+NDNBOOST_OPERATOR_TEMPLATE(modable)
+NDNBOOST_OPERATOR_TEMPLATE2(modable2_left)
+NDNBOOST_OPERATOR_TEMPLATE(xorable)
+NDNBOOST_OPERATOR_TEMPLATE(andable)
+NDNBOOST_OPERATOR_TEMPLATE(orable)
+
+NDNBOOST_OPERATOR_TEMPLATE1(incrementable)
+NDNBOOST_OPERATOR_TEMPLATE1(decrementable)
+
+NDNBOOST_OPERATOR_TEMPLATE2(dereferenceable)
+NDNBOOST_OPERATOR_TEMPLATE3(indexable)
+
+NDNBOOST_OPERATOR_TEMPLATE(left_shiftable)
+NDNBOOST_OPERATOR_TEMPLATE(right_shiftable)
+NDNBOOST_OPERATOR_TEMPLATE(equivalent)
+NDNBOOST_OPERATOR_TEMPLATE(partially_ordered)
+
+NDNBOOST_OPERATOR_TEMPLATE(totally_ordered)
+NDNBOOST_OPERATOR_TEMPLATE(additive)
+NDNBOOST_OPERATOR_TEMPLATE(multiplicative)
+NDNBOOST_OPERATOR_TEMPLATE(integer_multiplicative)
+NDNBOOST_OPERATOR_TEMPLATE(arithmetic)
+NDNBOOST_OPERATOR_TEMPLATE(integer_arithmetic)
+NDNBOOST_OPERATOR_TEMPLATE(bitwise)
+NDNBOOST_OPERATOR_TEMPLATE1(unit_steppable)
+NDNBOOST_OPERATOR_TEMPLATE(shiftable)
+NDNBOOST_OPERATOR_TEMPLATE(ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE(ordered_ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE(field_operators)
+NDNBOOST_OPERATOR_TEMPLATE(ordered_field_operators)
+NDNBOOST_OPERATOR_TEMPLATE(euclidian_ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE(ordered_euclidian_ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE(euclidean_ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE(ordered_euclidean_ring_operators)
+NDNBOOST_OPERATOR_TEMPLATE2(input_iteratable)
+NDNBOOST_OPERATOR_TEMPLATE1(output_iteratable)
+NDNBOOST_OPERATOR_TEMPLATE2(forward_iteratable)
+NDNBOOST_OPERATOR_TEMPLATE2(bidirectional_iteratable)
+NDNBOOST_OPERATOR_TEMPLATE4(random_access_iteratable)
+
+#undef NDNBOOST_OPERATOR_TEMPLATE
+#undef NDNBOOST_OPERATOR_TEMPLATE4
+#undef NDNBOOST_OPERATOR_TEMPLATE3
+#undef NDNBOOST_OPERATOR_TEMPLATE2
+#undef NDNBOOST_OPERATOR_TEMPLATE1
+#undef NDNBOOST_IMPORT_TEMPLATE1
+#undef NDNBOOST_IMPORT_TEMPLATE2
+#undef NDNBOOST_IMPORT_TEMPLATE3
+#undef NDNBOOST_IMPORT_TEMPLATE4
+
+// The following 'operators' classes can only be used portably if the derived class
+// declares ALL of the required member operators.
+template <class T, class U>
+struct operators2
+    : totally_ordered2<T,U
+    , integer_arithmetic2<T,U
+    , bitwise2<T,U
+      > > > {};
+
+#ifndef NDNBOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+template <class T, class U = T>
+struct operators : operators2<T, U> {};
+
+template <class T> struct operators<T, T>
+#else
+template <class T> struct operators
+#endif
+    : totally_ordered<T
+    , integer_arithmetic<T
+    , bitwise<T
+    , unit_steppable<T
+      > > > > {};
+
+//  Iterator helper classes (contributed by Jeremy Siek) -------------------//
+//  (Input and output iterator helpers contributed by Daryle Walker) -------//
+//  (Changed to use combined operator classes by Daryle Walker) ------------//
+template <class T,
+          class V,
+          class D = std::ptrdiff_t,
+          class P = V const *,
+          class R = V const &>
+struct input_iterator_helper
+  : input_iteratable<T, P
+  , ndnboost::iterator<std::input_iterator_tag, V, D, P, R
+    > > {};
+
+template<class T>
+struct output_iterator_helper
+  : output_iteratable<T
+  , ndnboost::iterator<std::output_iterator_tag, void, void, void, void
+  > >
+{
+  T& operator*()  { return static_cast<T&>(*this); }
+  T& operator++() { return static_cast<T&>(*this); }
+};
+
+template <class T,
+          class V,
+          class D = std::ptrdiff_t,
+          class P = V*,
+          class R = V&>
+struct forward_iterator_helper
+  : forward_iteratable<T, P
+  , ndnboost::iterator<std::forward_iterator_tag, V, D, P, R
+    > > {};
+
+template <class T,
+          class V,
+          class D = std::ptrdiff_t,
+          class P = V*,
+          class R = V&>
+struct bidirectional_iterator_helper
+  : bidirectional_iteratable<T, P
+  , ndnboost::iterator<std::bidirectional_iterator_tag, V, D, P, R
+    > > {};
+
+template <class T,
+          class V, 
+          class D = std::ptrdiff_t,
+          class P = V*,
+          class R = V&>
+struct random_access_iterator_helper
+  : random_access_iteratable<T, P, D, R
+  , ndnboost::iterator<std::random_access_iterator_tag, V, D, P, R
+    > >
+{
+  friend D requires_difference_operator(const T& x, const T& y) {
+    return x - y;
+  }
+}; // random_access_iterator_helper
+
+} // namespace ndnboost
+
+#if defined(__sgi) && !defined(__GNUC__)
+#pragma reset woff 1234
+#endif
+
+#endif // NDNBOOST_OPERATORS_HPP