/*-----------------------------------------------------------------------------+
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Copyright (c) 2010-2010: Joachim Faulhaber
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+------------------------------------------------------------------------------+
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENCE.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt)
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+-----------------------------------------------------------------------------*/
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#ifndef BOOST_ICL_CONCEPT_INTERVAL_BOUNDS_HPP_JOFA_100927
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#define BOOST_ICL_CONCEPT_INTERVAL_BOUNDS_HPP_JOFA_100927
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#include <boost/icl/interval_bounds.hpp>
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#include <boost/icl/type_traits/is_discrete.hpp>
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#include <boost/icl/type_traits/is_numeric.hpp>
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namespace boost{namespace icl
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{
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inline interval_bounds left(interval_bounds x1)
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{ return interval_bounds(x1._bits & interval_bounds::_left); }
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inline interval_bounds right(interval_bounds x1)
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{ return interval_bounds(x1._bits & interval_bounds::_right); }
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inline interval_bounds all(interval_bounds x1)
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{ return interval_bounds(x1._bits & interval_bounds::_all); }
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inline bool operator == (const interval_bounds x1, const interval_bounds x2)
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{ return x1._bits == x2._bits; }
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inline bool operator != (const interval_bounds x1, const interval_bounds x2)
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{ return x1._bits != x2._bits; }
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inline interval_bounds operator & (interval_bounds x1, interval_bounds x2)
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{ return interval_bounds(x1._bits & x2._bits); }
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inline interval_bounds operator | (interval_bounds x1, interval_bounds x2)
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{ return interval_bounds(x1._bits | x2._bits); }
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// left shift (multiplies by 2^shift)
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inline interval_bounds operator << (interval_bounds bounds, unsigned int shift)
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{ return interval_bounds(bounds._bits << shift); }
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// right shift (divides by 2^shift)
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inline interval_bounds operator >> (interval_bounds bounds, unsigned int shift)
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{ return interval_bounds(bounds._bits >> shift); }
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inline interval_bounds operator ~ (interval_bounds x1)
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{ return all(interval_bounds(~(x1._bits))); }
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inline interval_bounds outer_bounds(interval_bounds x1, interval_bounds x2)
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{ return left(x1) | right(x2); }
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inline interval_bounds inner_bounds(interval_bounds x1, interval_bounds x2)
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{ return interval_bounds(x1.reverse_right() | x2.reverse_left()); }
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inline interval_bounds left_bounds(interval_bounds x1, interval_bounds x2)
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{ return left(x1) | (left(x2) >> 1); }
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inline interval_bounds right_bounds(interval_bounds x1, interval_bounds x2)
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{ return (right(x1) <<1 ) | right(x2); }
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inline interval_bounds left_subtract_bounds(interval_bounds x1, interval_bounds x2)
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{ return right(x1) | ~(right(x2) << 1); }
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inline interval_bounds right_subtract_bounds(interval_bounds x1, interval_bounds x2)
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{ return left(x1) | ~(left(x2) >> 1); }
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inline bool is_complementary(interval_bounds x1)
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{ return x1 == interval_bounds::right_open() || x1 == interval_bounds::left_open(); }
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inline bool is_left_closed(interval_bounds bounds)
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{ return bounds.left().bits()==2; }
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inline bool is_right_closed(interval_bounds bounds)
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{ return bounds.right().bits()==1; }
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inline std::string left_bracket(interval_bounds bounds)
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{ return is_left_closed(bounds) ? "[" : "("; }
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inline std::string right_bracket(interval_bounds bounds)
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{ return is_right_closed(bounds) ? "]" : ")"; }
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template <class Type>
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inline typename enable_if<is_discrete<Type>, Type>::type
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shift_lower(interval_bounds decl, interval_bounds repr, const Type& low)
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{
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if(is_left_closed(decl) && !is_left_closed(repr))
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return icl::pred(low);
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else if(!is_left_closed(decl) && is_left_closed(repr))
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return icl::succ(low);
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else
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return low;
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}
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template <class Type>
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inline typename enable_if<is_discrete<Type>, Type>::type
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shift_upper(interval_bounds decl, interval_bounds repr, const Type& up)
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{
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if(!is_right_closed(decl) && is_right_closed(repr))
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return icl::pred(up);
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else if(is_right_closed(decl) && !is_right_closed(repr))
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return icl::succ(up);
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else
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return up;
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}
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template<class CharType, class CharTraits>
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std::basic_ostream<CharType, CharTraits>& operator <<
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(std::basic_ostream<CharType, CharTraits> &stream,
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interval_bounds const& object)
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{
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return stream << left_bracket(object) << right_bracket(object);
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}
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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outer_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return outer_bounds(x1.bounds(), x2.bounds()); }
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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inner_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return inner_bounds(x1.bounds(), x2.bounds()); }
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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left_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return left_bounds(x1.bounds(), x2.bounds()); }
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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right_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return right_bounds(x1.bounds(), x2.bounds()); }
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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left_subtract_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return left_subtract_bounds(x1.bounds(), x2.bounds()); }
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template<class IntervalT>
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inline typename
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boost::enable_if<has_dynamic_bounds<IntervalT>, interval_bounds>::type
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right_subtract_bounds(const IntervalT& x1, const IntervalT& x2)
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{ return right_subtract_bounds(x1.bounds(), x2.bounds()); }
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}} // namespace icl boost
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#endif
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