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+// 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
+// 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 BOOST_OPERATORS_HPP
+#define BOOST_OPERATORS_HPP
+
+#include <boost/config.hpp>
+#include <boost/iterator.hpp>
+#include <boost/detail/workaround.hpp>
+
+#if defined(__sgi) && !defined(__GNUC__)
+# pragma set woff 1234
+#endif
+
+#if defined(BOOST_MSVC)
+# pragma warning( disable : 4284 ) // complaint about return type of
+#endif // operator-> not begin a UDT
+
+namespace boost {
+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 boost
+
+// 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 BOOST_NO_OPERATORS_IN_NAMESPACE is defined, all of
+// these templates must go in the global namespace.
+
+#ifndef BOOST_NO_OPERATORS_IN_NAMESPACE
+namespace boost
+{
+#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 = ::boost::detail::empty_base<T> >
+struct less_than_comparable2 : B
+{
+ friend bool operator<=(const T& x, const U& y) { return !(x > y); }
+ friend bool operator>=(const T& x, const U& y) { return !(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 !(y < x); }
+ friend bool operator>=(const U& x, const T& y) { return !(y > x); }
+};
+
+template <class T, class B = ::boost::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 !(y < x); }
+ friend bool operator>=(const T& x, const T& y) { return !(x < y); }
+};
+
+template <class T, class U, class B = ::boost::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 !(x == y); }
+ friend bool operator!=(const T& y, const U& x) { return !(y == x); }
+};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct equality_comparable1 : B
+{
+ friend bool operator!=(const T& x, const T& y) { return !(x == y); }
+};
+
+// A macro which produces "name_2left" from "name".
+#define BOOST_OPERATOR2_LEFT(name) name##2##_##left
+
+// NRVO-friendly implementation (contributed by Daniel Frey) ---------------//
+
+#if defined(BOOST_HAS_NRVO) || defined(BOOST_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 BOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::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 BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::detail::empty_base<T> > \
+struct BOOST_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 = ::boost::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(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
+
+// For compilers without NRVO the following code is optimal, but not
+// symmetric! Note that the implementation of
+// BOOST_OPERATOR2_LEFT(NAME) only looks cool, but doesn't provide
+// optimization opportunities to the compiler :)
+
+#define BOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::detail::empty_base<T> > \
+struct NAME##1 : B \
+{ \
+ friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
+};
+
+#define BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::detail::empty_base<T> > \
+struct BOOST_OPERATOR2_LEFT(NAME) : B \
+{ \
+ friend T operator OP( const U& lhs, const T& rhs ) \
+ { return T( lhs ) OP##= rhs; } \
+}; \
+ \
+template <class T, class B = ::boost::detail::empty_base<T> > \
+struct NAME##1 : B \
+{ \
+ friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
+};
+
+#endif // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
+
+BOOST_BINARY_OPERATOR_COMMUTATIVE( multipliable, * )
+BOOST_BINARY_OPERATOR_COMMUTATIVE( addable, + )
+BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( subtractable, - )
+BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( dividable, / )
+BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( modable, % )
+BOOST_BINARY_OPERATOR_COMMUTATIVE( xorable, ^ )
+BOOST_BINARY_OPERATOR_COMMUTATIVE( andable, & )
+BOOST_BINARY_OPERATOR_COMMUTATIVE( orable, | )
+
+#undef BOOST_BINARY_OPERATOR_COMMUTATIVE
+#undef BOOST_BINARY_OPERATOR_NON_COMMUTATIVE
+#undef BOOST_OPERATOR2_LEFT
+
+// incrementable and decrementable contributed by Jeremy Siek
+
+template <class T, class B = ::boost::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 = ::boost::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 = ::boost::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 = ::boost::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(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
+
+#define BOOST_BINARY_OPERATOR( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::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(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
+
+#define BOOST_BINARY_OPERATOR( NAME, OP ) \
+template <class T, class U, class B = ::boost::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 = ::boost::detail::empty_base<T> > \
+struct NAME##1 : B \
+{ \
+ friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
+};
+
+#endif // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
+
+BOOST_BINARY_OPERATOR( left_shiftable, << )
+BOOST_BINARY_OPERATOR( right_shiftable, >> )
+
+#undef BOOST_BINARY_OPERATOR
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct equivalent2 : B
+{
+ friend bool operator==(const T& x, const U& y)
+ {
+ return !(x < y) && !(x > y);
+ }
+};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct equivalent1 : B
+{
+ friend bool operator==(const T&x, const T&y)
+ {
+ return !(x < y) && !(y < x);
+ }
+};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct partially_ordered2 : B
+{
+ friend bool operator<=(const T& x, const U& y)
+ { return (x < y) || (x == y); }
+ friend bool operator>=(const T& x, const U& y)
+ { return (x > y) || (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 (y > x) || (y == x); }
+ friend bool operator>=(const U& x, const T& y)
+ { return (y < x) || (y == x); }
+};
+
+template <class T, class B = ::boost::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 (x < y) || (x == y); }
+ friend bool operator>=(const T& x, const T& y)
+ { return (y < x) || (x == y); }
+};
+
+// Combined operator classes (contributed by Daryle Walker) ----------------//
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct totally_ordered2
+ : less_than_comparable2<T, U
+ , equality_comparable2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct totally_ordered1
+ : less_than_comparable1<T
+ , equality_comparable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct additive2
+ : addable2<T, U
+ , subtractable2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct additive1
+ : addable1<T
+ , subtractable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct multiplicative2
+ : multipliable2<T, U
+ , dividable2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct multiplicative1
+ : multipliable1<T
+ , dividable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct integer_multiplicative2
+ : multiplicative2<T, U
+ , modable2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct integer_multiplicative1
+ : multiplicative1<T
+ , modable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct arithmetic2
+ : additive2<T, U
+ , multiplicative2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct arithmetic1
+ : additive1<T
+ , multiplicative1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct integer_arithmetic2
+ : additive2<T, U
+ , integer_multiplicative2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct integer_arithmetic1
+ : additive1<T
+ , integer_multiplicative1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct bitwise2
+ : xorable2<T, U
+ , andable2<T, U
+ , orable2<T, U, B
+ > > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct bitwise1
+ : xorable1<T
+ , andable1<T
+ , orable1<T, B
+ > > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct unit_steppable
+ : incrementable<T
+ , decrementable<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct shiftable2
+ : left_shiftable2<T, U
+ , right_shiftable2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct shiftable1
+ : left_shiftable1<T
+ , right_shiftable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct ring_operators2
+ : additive2<T, U
+ , subtractable2_left<T, U
+ , multipliable2<T, U, B
+ > > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct ring_operators1
+ : additive1<T
+ , multipliable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct ordered_ring_operators2
+ : ring_operators2<T, U
+ , totally_ordered2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct ordered_ring_operators1
+ : ring_operators1<T
+ , totally_ordered1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct field_operators2
+ : ring_operators2<T, U
+ , dividable2<T, U
+ , dividable2_left<T, U, B
+ > > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct field_operators1
+ : ring_operators1<T
+ , dividable1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct ordered_field_operators2
+ : field_operators2<T, U
+ , totally_ordered2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct ordered_field_operators1
+ : field_operators1<T
+ , totally_ordered1<T, B
+ > > {};
+
+template <class T, class U, class B = ::boost::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 = ::boost::detail::empty_base<T> >
+struct euclidian_ring_operators1
+ : ring_operators1<T
+ , dividable1<T
+ , modable1<T, B
+ > > > {};
+
+template <class T, class U, class B = ::boost::detail::empty_base<T> >
+struct ordered_euclidian_ring_operators2
+ : totally_ordered2<T, U
+ , euclidian_ring_operators2<T, U, B
+ > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct ordered_euclidian_ring_operators1
+ : totally_ordered1<T
+ , euclidian_ring_operators1<T, B
+ > > {};
+
+template <class T, class P, class B = ::boost::detail::empty_base<T> >
+struct input_iteratable
+ : equality_comparable1<T
+ , incrementable<T
+ , dereferenceable<T, P, B
+ > > > {};
+
+template <class T, class B = ::boost::detail::empty_base<T> >
+struct output_iteratable
+ : incrementable<T, B
+ > {};
+
+template <class T, class P, class B = ::boost::detail::empty_base<T> >
+struct forward_iteratable
+ : input_iteratable<T, P, B
+ > {};
+
+template <class T, class P, class B = ::boost::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 = ::boost::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 BOOST_NO_OPERATORS_IN_NAMESPACE
+} // namespace boost
+#endif // BOOST_NO_OPERATORS_IN_NAMESPACE
+
+
+// BOOST_IMPORT_TEMPLATE1 .. BOOST_IMPORT_TEMPLATE4 -
+//
+// When BOOST_NO_OPERATORS_IN_NAMESPACE is defined we need a way to import an
+// operator template into the boost namespace. BOOST_IMPORT_TEMPLATE1 is used
+// for one-argument forms of operator templates; BOOST_IMPORT_TEMPLATE2 for
+// two-argument forms. Note that these macros expect to be invoked from within
+// boost.
+
+#ifndef BOOST_NO_OPERATORS_IN_NAMESPACE
+
+ // The template is already in boost so we have nothing to do.
+# define BOOST_IMPORT_TEMPLATE4(template_name)
+# define BOOST_IMPORT_TEMPLATE3(template_name)
+# define BOOST_IMPORT_TEMPLATE2(template_name)
+# define BOOST_IMPORT_TEMPLATE1(template_name)
+
+#else // BOOST_NO_OPERATORS_IN_NAMESPACE
+
+# ifndef BOOST_NO_USING_TEMPLATE
+
+ // Bring the names in with a using-declaration
+ // to avoid stressing the compiler.
+# define BOOST_IMPORT_TEMPLATE4(template_name) using ::template_name;
+# define BOOST_IMPORT_TEMPLATE3(template_name) using ::template_name;
+# define BOOST_IMPORT_TEMPLATE2(template_name) using ::template_name;
+# define BOOST_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 BOOST_IMPORT_TEMPLATE4(template_name) \
+ template <class T, class U, class V, class W, class B = ::boost::detail::empty_base<T> > \
+ struct template_name : ::template_name<T, U, V, W, B> {};
+
+# define BOOST_IMPORT_TEMPLATE3(template_name) \
+ template <class T, class U, class V, class B = ::boost::detail::empty_base<T> > \
+ struct template_name : ::template_name<T, U, V, B> {};
+
+# define BOOST_IMPORT_TEMPLATE2(template_name) \
+ template <class T, class U, class B = ::boost::detail::empty_base<T> > \
+ struct template_name : ::template_name<T, U, B> {};
+
+# define BOOST_IMPORT_TEMPLATE1(template_name) \
+ template <class T, class B = ::boost::detail::empty_base<T> > \
+ struct template_name : ::template_name<T, B> {};
+
+# endif // BOOST_NO_USING_TEMPLATE
+
+#endif // BOOST_NO_OPERATORS_IN_NAMESPACE
+
+//
+// Here's where we put it all together, defining the xxxx forms of the templates
+// in namespace boost. We also define specializations of is_chained_base<> for
+// the xxxx, xxxx1, and xxxx2 templates, importing them into boost:: as
+// necessary.
+//
+#ifndef BOOST_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 boost {
+// 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 ::boost::detail::false_t value;
+};
+
+} // namespace boost
+
+// Import a 4-type-argument operator template into boost (if necessary) and
+// provide a specialization of 'is_chained_base<>' for it.
+# define BOOST_OPERATOR_TEMPLATE4(template_name4) \
+ BOOST_IMPORT_TEMPLATE4(template_name4) \
+ template<class T, class U, class V, class W, class B> \
+ struct is_chained_base< ::boost::template_name4<T, U, V, W, B> > { \
+ typedef ::boost::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 BOOST_OPERATOR_TEMPLATE3(template_name3) \
+ BOOST_IMPORT_TEMPLATE3(template_name3) \
+ template<class T, class U, class V, class B> \
+ struct is_chained_base< ::boost::template_name3<T, U, V, B> > { \
+ typedef ::boost::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 BOOST_OPERATOR_TEMPLATE2(template_name2) \
+ BOOST_IMPORT_TEMPLATE2(template_name2) \
+ template<class T, class U, class B> \
+ struct is_chained_base< ::boost::template_name2<T, U, B> > { \
+ typedef ::boost::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 BOOST_OPERATOR_TEMPLATE1(template_name1) \
+ BOOST_IMPORT_TEMPLATE1(template_name1) \
+ template<class T, class B> \
+ struct is_chained_base< ::boost::template_name1<T, B> > { \
+ typedef ::boost::detail::true_t value; \
+ };
+
+// BOOST_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 BOOST_OPERATOR_TEMPLATE(template_name) \
+template <class T \
+ ,class U = T \
+ ,class B = ::boost::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, ::boost::detail::true_t> \
+ : template_name##1<T, U> {}; \
+ \
+template <class T, class B> \
+struct template_name<T, T, B, ::boost::detail::false_t> \
+ : template_name##1<T, B> {}; \
+ \
+template<class T, class U, class B, class O> \
+struct is_chained_base< ::boost::template_name<T, U, B, O> > { \
+ typedef ::boost::detail::true_t value; \
+}; \
+ \
+BOOST_OPERATOR_TEMPLATE2(template_name##2) \
+BOOST_OPERATOR_TEMPLATE1(template_name##1)
+
+
+#else // BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+
+# define BOOST_OPERATOR_TEMPLATE4(template_name4) \
+ BOOST_IMPORT_TEMPLATE4(template_name4)
+# define BOOST_OPERATOR_TEMPLATE3(template_name3) \
+ BOOST_IMPORT_TEMPLATE3(template_name3)
+# define BOOST_OPERATOR_TEMPLATE2(template_name2) \
+ BOOST_IMPORT_TEMPLATE2(template_name2)
+# define BOOST_OPERATOR_TEMPLATE1(template_name1) \
+ BOOST_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 BOOST_OPERATOR_TEMPLATE(template_name) \
+ template <class T, class B = ::boost::detail::empty_base<T> > \
+ struct template_name : template_name##1<T, B> {};
+
+#endif // BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
+
+namespace boost {
+
+BOOST_OPERATOR_TEMPLATE(less_than_comparable)
+BOOST_OPERATOR_TEMPLATE(equality_comparable)
+BOOST_OPERATOR_TEMPLATE(multipliable)
+BOOST_OPERATOR_TEMPLATE(addable)
+BOOST_OPERATOR_TEMPLATE(subtractable)
+BOOST_OPERATOR_TEMPLATE2(subtractable2_left)
+BOOST_OPERATOR_TEMPLATE(dividable)
+BOOST_OPERATOR_TEMPLATE2(dividable2_left)
+BOOST_OPERATOR_TEMPLATE(modable)
+BOOST_OPERATOR_TEMPLATE2(modable2_left)
+BOOST_OPERATOR_TEMPLATE(xorable)
+BOOST_OPERATOR_TEMPLATE(andable)
+BOOST_OPERATOR_TEMPLATE(orable)
+
+BOOST_OPERATOR_TEMPLATE1(incrementable)
+BOOST_OPERATOR_TEMPLATE1(decrementable)
+
+BOOST_OPERATOR_TEMPLATE2(dereferenceable)
+BOOST_OPERATOR_TEMPLATE3(indexable)
+
+BOOST_OPERATOR_TEMPLATE(left_shiftable)
+BOOST_OPERATOR_TEMPLATE(right_shiftable)
+BOOST_OPERATOR_TEMPLATE(equivalent)
+BOOST_OPERATOR_TEMPLATE(partially_ordered)
+
+BOOST_OPERATOR_TEMPLATE(totally_ordered)
+BOOST_OPERATOR_TEMPLATE(additive)
+BOOST_OPERATOR_TEMPLATE(multiplicative)
+BOOST_OPERATOR_TEMPLATE(integer_multiplicative)
+BOOST_OPERATOR_TEMPLATE(arithmetic)
+BOOST_OPERATOR_TEMPLATE(integer_arithmetic)
+BOOST_OPERATOR_TEMPLATE(bitwise)
+BOOST_OPERATOR_TEMPLATE1(unit_steppable)
+BOOST_OPERATOR_TEMPLATE(shiftable)
+BOOST_OPERATOR_TEMPLATE(ring_operators)
+BOOST_OPERATOR_TEMPLATE(ordered_ring_operators)
+BOOST_OPERATOR_TEMPLATE(field_operators)
+BOOST_OPERATOR_TEMPLATE(ordered_field_operators)
+BOOST_OPERATOR_TEMPLATE(euclidian_ring_operators)
+BOOST_OPERATOR_TEMPLATE(ordered_euclidian_ring_operators)
+BOOST_OPERATOR_TEMPLATE2(input_iteratable)
+BOOST_OPERATOR_TEMPLATE1(output_iteratable)
+BOOST_OPERATOR_TEMPLATE2(forward_iteratable)
+BOOST_OPERATOR_TEMPLATE2(bidirectional_iteratable)
+BOOST_OPERATOR_TEMPLATE4(random_access_iteratable)
+
+#undef BOOST_OPERATOR_TEMPLATE
+#undef BOOST_OPERATOR_TEMPLATE4
+#undef BOOST_OPERATOR_TEMPLATE3
+#undef BOOST_OPERATOR_TEMPLATE2
+#undef BOOST_OPERATOR_TEMPLATE1
+#undef BOOST_IMPORT_TEMPLATE1
+#undef BOOST_IMPORT_TEMPLATE2
+#undef BOOST_IMPORT_TEMPLATE3
+#undef BOOST_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 BOOST_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
+ , boost::iterator<std::input_iterator_tag, V, D, P, R
+ > > {};
+
+template<class T>
+struct output_iterator_helper
+ : output_iteratable<T
+ , boost::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
+ , boost::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
+ , boost::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
+ , boost::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 boost
+
+#if defined(__sgi) && !defined(__GNUC__)
+#pragma reset woff 1234
+#endif
+
+#endif // BOOST_OPERATORS_HPP