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							- /*-----------------------------------------------------------------------------+
 
- Copyright (c) 2007-2011: Joachim Faulhaber
 
- Copyright (c) 1999-2006: Cortex Software GmbH, Kantstrasse 57, Berlin
 
- +------------------------------------------------------------------------------+
 
-    Distributed under the Boost Software License, Version 1.0.
 
-       (See accompanying file LICENCE.txt or copy at
 
-            http://www.boost.org/LICENSE_1_0.txt)
 
- +-----------------------------------------------------------------------------*/
 
- #ifndef BOOST_ICL_INTERVAL_BASE_SET_H_JOFA_990223
 
- #define BOOST_ICL_INTERVAL_BASE_SET_H_JOFA_990223
 
- #include <boost/icl/impl_config.hpp>
 
- #if defined(ICL_USE_BOOST_MOVE_IMPLEMENTATION)
 
- #   include <boost/container/set.hpp>
 
- #elif defined(ICL_USE_STD_IMPLEMENTATION)
 
- #   include <set>
 
- #else // Default for implementing containers
 
- #   include <set>
 
- #endif
 
- #include <limits>
 
- #include <boost/next_prior.hpp>
 
- #include <boost/icl/associative_interval_container.hpp>
 
- #include <boost/icl/type_traits/interval_type_default.hpp>
 
- #include <boost/icl/interval.hpp>
 
- #include <boost/icl/type_traits/infinity.hpp>
 
- #include <boost/icl/type_traits/is_interval_joiner.hpp>
 
- #include <boost/icl/type_traits/is_interval_separator.hpp>
 
- #include <boost/icl/type_traits/is_interval_splitter.hpp>
 
- #include <boost/icl/detail/interval_set_algo.hpp>
 
- #include <boost/icl/detail/exclusive_less_than.hpp>
 
- #include <boost/icl/right_open_interval.hpp>
 
- #include <boost/icl/continuous_interval.hpp>
 
- #include <boost/icl/detail/notate.hpp>
 
- #include <boost/icl/detail/element_iterator.hpp>
 
- namespace boost{namespace icl
 
- {
 
- /** \brief Implements a set as a set of intervals (base class) */
 
- template
 
- <
 
-     typename             SubType,
 
-     typename             DomainT,
 
-     ICL_COMPARE Compare  = ICL_COMPARE_INSTANCE(ICL_COMPARE_DEFAULT, DomainT),
 
-     ICL_INTERVAL(ICL_COMPARE) Interval = ICL_INTERVAL_INSTANCE(ICL_INTERVAL_DEFAULT, DomainT, Compare),
 
-     ICL_ALLOC   Alloc    = std::allocator
 
- >
 
- class interval_base_set
 
- {
 
- public:
 
-     //==========================================================================
 
-     //= Associated types
 
-     //==========================================================================
 
-     typedef interval_base_set<SubType,DomainT,Compare,Interval,Alloc> type;
 
-     /// The designated \e derived or \e sub_type of this base class
 
-     typedef SubType sub_type;
 
-     /// Auxilliary type for overloadresolution
 
-     typedef type overloadable_type;
 
-     //--------------------------------------------------------------------------
 
-     //- Associated types: Data
 
-     //--------------------------------------------------------------------------
 
-     /// The domain type of the set
 
-     typedef DomainT   domain_type;
 
-     /// The codomaintype is the same as domain_type
 
-     typedef DomainT   codomain_type;
 
-     /// The element type of the set
 
-     typedef DomainT   element_type;
 
-     /// The interval type of the set
 
-     typedef ICL_INTERVAL_TYPE(Interval,DomainT,Compare) interval_type;
 
-     /// The segment type of the set
 
-     typedef interval_type   segment_type;
 
-     //--------------------------------------------------------------------------
 
-     //- Associated types: Size
 
-     //--------------------------------------------------------------------------
 
-     /// The difference type of an interval which is sometimes different form the data_type
 
-     typedef typename difference_type_of<domain_type>::type difference_type;
 
-     /// The size type of an interval which is mostly std::size_t
 
-     typedef typename size_type_of<domain_type>::type size_type;
 
-     //--------------------------------------------------------------------------
 
-     //- Associated types: Order
 
-     //--------------------------------------------------------------------------
 
-     /// Comparison functor for domain values
 
-     typedef ICL_COMPARE_DOMAIN(Compare,DomainT)      domain_compare;
 
-     typedef ICL_COMPARE_DOMAIN(Compare,segment_type) segment_compare;
 
-     /// Comparison functor for intervals
 
-     typedef exclusive_less_than<interval_type>       interval_compare;
 
-     /// Comparison functor for keys
 
-     typedef exclusive_less_than<interval_type> key_compare;
 
-     //--------------------------------------------------------------------------
 
-     //- Associated types: Related types
 
-     //--------------------------------------------------------------------------
 
-     /// The atomized type representing the corresponding container of elements
 
-     typedef typename ICL_IMPL_SPACE::set<DomainT,domain_compare,Alloc<DomainT> > atomized_type;
 
-     //--------------------------------------------------------------------------
 
-     //- Associated types: Implementation and stl related
 
-     //--------------------------------------------------------------------------
 
-     /// The allocator type of the set
 
-     typedef Alloc<interval_type> allocator_type;
 
-     /// allocator type of the corresponding element set
 
-     typedef Alloc<DomainT> domain_allocator_type;
 
-     /// Container type for the implementation
 
-     typedef typename ICL_IMPL_SPACE::set<interval_type,key_compare,allocator_type> ImplSetT;
 
-     /// key type of the implementing container
 
-     typedef typename ImplSetT::key_type   key_type;
 
-     /// data type of the implementing container
 
-     typedef typename ImplSetT::key_type   data_type;
 
-     /// value type of the implementing container
 
-     typedef typename ImplSetT::value_type value_type;
 
-     /// pointer type
 
-     typedef typename ImplSetT::pointer         pointer;
 
-     /// const pointer type
 
-     typedef typename ImplSetT::const_pointer   const_pointer;
 
-     /// reference type
 
-     typedef typename ImplSetT::reference       reference;
 
-     /// const reference type
 
-     typedef typename ImplSetT::const_reference const_reference;
 
-     /// iterator for iteration over intervals
 
-     typedef typename ImplSetT::iterator iterator;
 
-     /// const_iterator for iteration over intervals
 
-     typedef typename ImplSetT::const_iterator const_iterator;
 
-     /// iterator for reverse iteration over intervals
 
-     typedef typename ImplSetT::reverse_iterator reverse_iterator;
 
-     /// const_iterator for iteration over intervals
 
-     typedef typename ImplSetT::const_reverse_iterator const_reverse_iterator;
 
-     /// element iterator: Depreciated, see documentation.
 
-     typedef boost::icl::element_iterator<iterator> element_iterator;
 
-     /// element const iterator: Depreciated, see documentation.
 
-     typedef boost::icl::element_iterator<const_iterator> element_const_iterator;
 
-     /// element reverse iterator: Depreciated, see documentation.
 
-     typedef boost::icl::element_iterator<reverse_iterator> element_reverse_iterator;
 
-     /// element const reverse iterator: Depreciated, see documentation.
 
-     typedef boost::icl::element_iterator<const_reverse_iterator> element_const_reverse_iterator;
 
-     BOOST_STATIC_CONSTANT(int, fineness = 0);
 
- public:
 
-     //==========================================================================
 
-     //= Construct, copy, destruct
 
-     //==========================================================================
 
-     /** Default constructor for the empty object */
 
-     interval_base_set(){}
 
-     /** Copy constructor */
 
-     interval_base_set(const interval_base_set& src): _set(src._set)
 
-     {
 
-         BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<DomainT>));
 
-         BOOST_CONCEPT_ASSERT((LessThanComparableConcept<DomainT>));
 
-     }
 
- #   ifndef BOOST_ICL_NO_CXX11_RVALUE_REFERENCES
 
-     //==========================================================================
 
-     //= Move semantics
 
-     //==========================================================================
 
-     /** Move constructor */
 
-     interval_base_set(interval_base_set&& src): _set(boost::move(src._set))
 
-     {
 
-         BOOST_CONCEPT_ASSERT((DefaultConstructibleConcept<DomainT>));
 
-         BOOST_CONCEPT_ASSERT((LessThanComparableConcept<DomainT>));
 
-     }
 
-     /** Move assignment operator */
 
-     interval_base_set& operator = (interval_base_set src)
 
-     {                           //call by value sice 'src' is a "sink value"
 
-         this->_set = boost::move(src._set);
 
-         return *this;
 
-     }
 
-     //==========================================================================
 
- #   else
 
-     /** Copy assignment operator */
 
-     interval_base_set& operator = (const interval_base_set& src)
 
-     {
 
-         this->_set = src._set;
 
-         return *this;
 
-     }
 
- #   endif // BOOST_ICL_NO_CXX11_RVALUE_REFERENCES
 
-     /** swap the content of containers */
 
-     void swap(interval_base_set& operand) { _set.swap(operand._set); }
 
-     //==========================================================================
 
-     //= Containedness
 
-     //==========================================================================
 
-     /** sets the container empty */
 
-     void clear() { icl::clear(*that()); }
 
-     /** is the container empty? */
 
-     bool empty()const { return icl::is_empty(*that()); }
 
-     //==========================================================================
 
-     //= Size
 
-     //==========================================================================
 
-     /** An interval set's size is it's cardinality */
 
-     size_type size()const
 
-     {
 
-         return icl::cardinality(*that());
 
-     }
 
-     /** Size of the iteration over this container */
 
-     std::size_t iterative_size()const
 
-     {
 
-         return _set.size();
 
-     }
 
-     //==========================================================================
 
-     //= Selection
 
-     //==========================================================================
 
-     /** Find the interval, that contains element \c key_value */
 
-     const_iterator find(const element_type& key_value)const
 
-     {
 
-         return icl::find(*this, key_value);
 
-         //CL return this->_set.find(icl::singleton<segment_type>(key));
 
-     }
 
-     /** Find the first interval, that collides with interval \c key_interval */
 
-     const_iterator find(const interval_type& key_interval)const
 
-     {
 
-         return this->_set.find(key_interval);
 
-     }
 
-     //==========================================================================
 
-     //= Addition
 
-     //==========================================================================
 
-     /** Add a single element \c key to the set */
 
-     SubType& add(const element_type& key)
 
-     {
 
-         return icl::add(*that(), key);
 
-     }
 
-     /** Add an interval of elements \c inter_val to the set */
 
-     SubType& add(const segment_type& inter_val)
 
-     {
 
-         _add(inter_val);
 
-         return *that();
 
-     }
 
-     /** Add an interval of elements \c inter_val to the set. Iterator
 
-         \c prior_ is a hint to the position \c inter_val can be
 
-         inserted after. */
 
-     iterator add(iterator prior_, const segment_type& inter_val)
 
-     {
 
-         return _add(prior_, inter_val);
 
-     }
 
-     //==========================================================================
 
-     //= Subtraction
 
-     //==========================================================================
 
-     /** Subtract a single element \c key from the set */
 
-     SubType& subtract(const element_type& key)
 
-     {
 
-         return icl::subtract(*that(), key);
 
-     }
 
-     /** Subtract an interval of elements \c inter_val from the set */
 
-     SubType& subtract(const segment_type& inter_val);
 
-     //==========================================================================
 
-     //= Insertion
 
-     //==========================================================================
 
-     /** Insert an element \c key into the set */
 
-     SubType& insert(const element_type& key)
 
-     {
 
-         return add(key);
 
-     }
 
-     /** Insert an interval of elements \c inter_val to the set */
 
-     SubType& insert(const segment_type& inter_val)
 
-     {
 
-         return add(inter_val);
 
-     }
 
-     /** Insert an interval of elements \c inter_val to the set. Iterator
 
-         \c prior_ is a hint to the position \c inter_val can be
 
-         inserted after. */
 
-     iterator insert(iterator prior_, const segment_type& inter_val)
 
-     {
 
-         return add(prior_, inter_val);
 
-     }
 
-     //==========================================================================
 
-     //= Erasure
 
-     //==========================================================================
 
-     /** Erase an element \c key from the set */
 
-     SubType& erase(const element_type& key)
 
-     {
 
-         return subtract(key);
 
-     }
 
-     /** Erase an interval of elements \c inter_val from the set */
 
-     SubType& erase(const segment_type& inter_val)
 
-     {
 
-         return subtract(inter_val);
 
-     }
 
-     /** Erase the interval that iterator \c position points to. */
 
-     void erase(iterator position)
 
-     {
 
-         _set.erase(position);
 
-     }
 
-     /** Erase all intervals in the range <tt>[first,past)</tt> of iterators. */
 
-     void erase(iterator first, iterator past)
 
-     {
 
-         _set.erase(first, past);
 
-     }
 
-     //==========================================================================
 
-     //= Symmetric difference
 
-     //==========================================================================
 
-     /** If \c *this set contains \c key it is erased, otherwise it is added. */
 
-     SubType& flip(const element_type& key)
 
-     {
 
-         return icl::flip(*that(), key);
 
-     }
 
-     /** If \c *this set contains \c inter_val it is erased, otherwise it is added. */
 
-     SubType& flip(const segment_type& inter_val)
 
-     {
 
-         return icl::flip(*that(), inter_val);
 
-     }
 
-     //==========================================================================
 
-     //= Iterator related
 
-     //==========================================================================
 
-     iterator begin() { return _set.begin(); }
 
-     iterator end()   { return _set.end(); }
 
-     const_iterator begin()const { return _set.begin(); }
 
-     const_iterator end()const   { return _set.end(); }
 
-     reverse_iterator rbegin() { return _set.rbegin(); }
 
-     reverse_iterator rend()   { return _set.rend(); }
 
-     const_reverse_iterator rbegin()const { return _set.rbegin(); }
 
-     const_reverse_iterator rend()const   { return _set.rend(); }
 
-     iterator lower_bound(const value_type& interval)
 
-     { return _set.lower_bound(interval); }
 
-     iterator upper_bound(const value_type& interval)
 
-     { return _set.upper_bound(interval); }
 
-     const_iterator lower_bound(const value_type& interval)const
 
-     { return _set.lower_bound(interval); }
 
-     const_iterator upper_bound(const value_type& interval)const
 
-     { return _set.upper_bound(interval); }
 
-     std::pair<iterator,iterator> equal_range(const key_type& interval)
 
-     {
 
-         return std::pair<iterator,iterator>
 
-             (_set.lower_bound(interval), _set.upper_bound(interval));
 
-     }
 
-     std::pair<const_iterator,const_iterator>
 
-         equal_range(const key_type& interval)const
 
-     {
 
-         return std::pair<const_iterator,const_iterator>
 
-             (_set.lower_bound(interval), _set.upper_bound(interval));
 
-     }
 
- private:
 
-     iterator _add(const segment_type& addend);
 
-     iterator _add(iterator prior, const segment_type& addend);
 
- protected:
 
-     void add_front(const interval_type& inter_val, iterator& first_);
 
-     void add_main(interval_type& inter_val, iterator& it_, const iterator& last_);
 
-     void add_segment(const interval_type& inter_val, iterator& it_);
 
-     void add_rear(const interval_type& inter_val, iterator& it_);
 
- protected:
 
-     sub_type* that() { return static_cast<sub_type*>(this); }
 
-     const sub_type* that()const { return static_cast<const sub_type*>(this); }
 
- protected:
 
-     ImplSetT _set;
 
- } ;
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline void interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::add_front(const interval_type& inter_val, iterator& first_)
 
- {
 
-     // If the collision sequence has a left residual 'left_resid' it will
 
-     // be split, to provide a standardized start of algorithms:
 
-     // The addend interval 'inter_val' covers the beginning of the collision sequence.
 
-     // only for the first there can be a left_resid: a part of *first_ left of inter_val
 
-     interval_type left_resid = right_subtract(*first_, inter_val);
 
-     if(!icl::is_empty(left_resid))
 
-     {   //            [------------ . . .
 
-         // [left_resid---first_ --- . . .
 
-         iterator prior_ = cyclic_prior(*this, first_);
 
-         const_cast<interval_type&>(*first_) = left_subtract(*first_, left_resid);
 
-         //NOTE: Only splitting
 
-         this->_set.insert(prior_, left_resid);
 
-     }
 
-     //POST:
 
-     // [----- inter_val ---- . . .
 
-     // ...[-- first_ --...
 
- }
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline void interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::add_segment(const interval_type& inter_val, iterator& it_)
 
- {
 
-     interval_type lead_gap = right_subtract(inter_val, *it_);
 
-     if(!icl::is_empty(lead_gap))
 
-         //           [lead_gap--- . . .
 
-         // [prior_)           [-- it_ ...
 
-         this->_set.insert(cyclic_prior(*this, it_), lead_gap);
 
-     // . . . --------- . . . addend interval
 
-     //      [-- it_ --)      has a common part with the first overval
 
-     ++it_;
 
- }
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline void interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::add_main(interval_type& rest_interval, iterator& it_, const iterator& last_)
 
- {
 
-     interval_type cur_interval;
 
-     while(it_ != last_)
 
-     {
 
-         cur_interval = *it_ ;
 
-         add_segment(rest_interval, it_);
 
-         // shrink interval
 
-         rest_interval = left_subtract(rest_interval, cur_interval);
 
-     }
 
- }
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline void interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::add_rear(const interval_type& inter_val, iterator& it_)
 
- {
 
-     iterator prior_ = cyclic_prior(*this, it_);
 
-     interval_type cur_itv = *it_;
 
-     interval_type lead_gap = right_subtract(inter_val, cur_itv);
 
-     if(!icl::is_empty(lead_gap))
 
-         //          [lead_gap--- . . .
 
-         // [prior_)          [-- it_ ...
 
-         this->_set.insert(prior_, lead_gap);
 
-     interval_type end_gap = left_subtract(inter_val, cur_itv);
 
-     if(!icl::is_empty(end_gap))
 
-         // [---------------end_gap)
 
-         //      [-- it_ --)
 
-         it_ = this->_set.insert(it_, end_gap);
 
-     else
 
-     {
 
-         // only for the last there can be a right_resid: a part of *it_ right of addend
 
-         interval_type right_resid = left_subtract(cur_itv, inter_val);
 
-         if(!icl::is_empty(right_resid))
 
-         {
 
-             // [--------------)
 
-             //      [-- it_ --right_resid)
 
-             const_cast<interval_type&>(*it_) = right_subtract(*it_, right_resid);
 
-             it_ = this->_set.insert(it_, right_resid);
 
-         }
 
-     }
 
- }
 
- //==============================================================================
 
- //= Addition
 
- //==============================================================================
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline typename interval_base_set<SubType,DomainT,Compare,Interval,Alloc>::iterator
 
-     interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::_add(const segment_type& addend)
 
- {
 
-     typedef typename interval_base_set<SubType,DomainT,Compare,Interval,Alloc>::iterator iterator;
 
-     if(icl::is_empty(addend))
 
-         return this->_set.end();
 
-     std::pair<iterator,bool> insertion = this->_set.insert(addend);
 
-     if(insertion.second)
 
-         return that()->handle_inserted(insertion.first);
 
-     else
 
-     {
 
-         iterator last_ = prior(this->_set.upper_bound(addend));
 
-         return that()->add_over(addend, last_);
 
-     }
 
- }
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline typename interval_base_set<SubType,DomainT,Compare,Interval,Alloc>::iterator
 
-     interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::_add(iterator prior_, const segment_type& addend)
 
- {
 
-     typedef typename interval_base_set<SubType,DomainT,Compare,Interval,Alloc>::iterator iterator;
 
-     if(icl::is_empty(addend))
 
-         return prior_;
 
-     iterator insertion = this->_set.insert(prior_, addend);
 
-     if(*insertion == addend)
 
-         return that()->handle_inserted(insertion);
 
-     else
 
-     {
 
-         iterator last_ = prior(this->_set.upper_bound(addend));
 
-         return that()->add_over(addend, last_);
 
-     }
 
- }
 
- //==============================================================================
 
- //= Subtraction
 
- //==============================================================================
 
- template <class SubType, class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE) Interval, ICL_ALLOC Alloc>
 
- inline SubType& interval_base_set<SubType,DomainT,Compare,Interval,Alloc>
 
-     ::subtract(const segment_type& minuend)
 
- {
 
-     if(icl::is_empty(minuend))
 
-         return *that();
 
-     std::pair<iterator, iterator> exterior = equal_range(minuend);
 
-     if(exterior.first == exterior.second)
 
-         return *that();
 
-     iterator first_ = exterior.first;
 
-     iterator end_   = exterior.second;
 
-     iterator last_  = prior(end_);
 
-     interval_type left_resid = right_subtract(*first_, minuend);
 
-     interval_type right_resid;
 
-     if(first_ != end_)
 
-         right_resid = left_subtract(*last_ , minuend);
 
-     this->_set.erase(first_, end_);
 
-     if(!icl::is_empty(left_resid))
 
-         this->_set.insert(left_resid);
 
-     if(!icl::is_empty(right_resid))
 
-         this->_set.insert(right_resid);
 
-     return *that();
 
- }
 
- //-----------------------------------------------------------------------------
 
- // type traits
 
- //-----------------------------------------------------------------------------
 
- template<class SubType,
 
-          class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE)  Interval, ICL_ALLOC Alloc>
 
- struct is_set<icl::interval_base_set<SubType,DomainT,Compare,Interval,Alloc> >
 
- {
 
-     typedef is_set<icl::interval_base_set<SubType,DomainT,Compare,Interval,Alloc> > type;
 
-     BOOST_STATIC_CONSTANT(bool, value = true);
 
- };
 
- template<class SubType,
 
-          class DomainT, ICL_COMPARE Compare, ICL_INTERVAL(ICL_COMPARE)  Interval, ICL_ALLOC Alloc>
 
- struct is_interval_container<icl::interval_base_set<SubType,DomainT,Compare,Interval,Alloc> >
 
- {
 
-     typedef is_interval_container<icl::interval_base_set<SubType,DomainT,Compare,Interval,Alloc> > type;
 
-     BOOST_STATIC_CONSTANT(bool, value = true);
 
- };
 
- }} // namespace icl boost
 
- #endif
 
 
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